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null | false | false | inductive | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 40 | [
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null | true | true | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom._sizeOf_1 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom | abbrev | 53 | [
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null | true | true | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom._sizeOf_inst | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom | abbrev | 53 | [
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null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.casesOn | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom | abbrev | 195 | [
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null | false | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.comp | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom | null | 161 | [
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null | true | true | definition | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.comp._autoParam | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.comp | opaque | 1 | [
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4 | true | false | definition | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.ctorIdx | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom | regular | 49 | [
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"Finite",
"Finty... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.ext | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom | null | 99 | [
"CategoryTheory.Category",
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"CategoryTheory.ObjectProperty.FullSubcategory.category",
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null | false | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.ext_iff | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom | null | 100 | [
"CategoryTheory.Category",
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"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.... | 269 | [
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"CategoryTheory.ObjectProperty.FullSubcategory.category",
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"CategoryTheory.... |
null | false | false | constructor | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.mk | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom | null | 175 | [
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"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... | null | [] |
null | true | true | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.mk._flat_ctor | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.mk | abbrev | 175 | [
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"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... | 177 | [
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"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... |
null | true | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.mk.congr_simp | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.mk | null | 299 | [
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"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... | 407 | [
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"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
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"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... |
null | true | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.mk.inj | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.mk | null | 283 | [
"CategoryTheory.Category",
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"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... | 323 | [
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"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... |
null | true | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.mk.injEq | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.mk | null | 281 | [
"CategoryTheory.Category",
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"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... | 461 | [
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null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.mk.noConfusion | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.mk | abbrev | 290 | [
"CategoryTheory.Category",
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"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... | 366 | [
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"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
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"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... |
null | true | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.mk.sizeOf_spec | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.mk | null | 294 | [
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"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... | 266 | [
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"CategoryTheory.GaloisCategory",
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null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.noConfusion | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom | abbrev | 171 | [
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"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
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"CategoryTheory.PreGaloisCategory.PointedGal... | 1,168 | [
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"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... |
null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.noConfusionType | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom | abbrev | 57 | [
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"CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom",
"CategoryTheory.types",
"Finite",
"Finty... | 330 | [
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null | false | false | recursor | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.rec | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom | null | 194 | [
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"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... | null | [] |
null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.recOn | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom | abbrev | 195 | [
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"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... | 204 | [
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"CategoryTheory.Functor.map",
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"CategoryTheory.GaloisCategory",
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null | false | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom.val | CategoryTheory.PreGaloisCategory.PointedGaloisObject.Hom | abbrev | 67 | [
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"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.... | 49 | [
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"Finite",
"Finty... |
null | true | true | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject._sizeOf_1 | CategoryTheory.PreGaloisCategory.PointedGaloisObject | abbrev | 38 | [
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"CategoryTheory.types",
"Finite",
"FintypeCat",
"Nat",
"SizeOf"
] | 124 | [
"CategoryTheory.Category",
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"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... |
null | true | true | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject._sizeOf_inst | CategoryTheory.PreGaloisCategory.PointedGaloisObject | abbrev | 38 | [
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"CategoryTheory.types",
"Finite",
"FintypeCat",
"SizeOf"
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"CategoryTheory.Category",
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"CategoryTheory.PreGaloisCategory.PointedGaloisObject._sizeOf_1",
"CategoryTheory.types",
"Finite",
... |
null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.casesOn | CategoryTheory.PreGaloisCategory.PointedGaloisObject | abbrev | 76 | [
"CategoryTheory.Category",
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"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... | 100 | [
"CategoryTheory.Category",
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"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
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6 | false | false | definition | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone | CategoryTheory.PreGaloisCategory.PointedGaloisObject | regular | 85 | [
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"CategoryTheory.Functor.op",
"CategoryTheory.GaloisCategory",
"CategoryTheory.Limits.Cocone",
"CategoryTheory.ObjectProperty.FullSubcategory.cate... | 548 | [
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"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.comp",
"CategoryTheory.Func... |
null | true | true | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone._proof_1 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone | null | 606 | [
"CategoryTheory.Category",
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"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheo... | 1,595 | [
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"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheo... |
null | true | true | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone._proof_11 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone | null | 330 | [
"CategoryTheory.Category",
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"CategoryTheory.Functor",
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"CategoryTheo... | 743 | [
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null | true | true | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone._proof_12 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone | null | 755 | [
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"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheo... | 2,203 | [
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null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone.match_1 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone | abbrev | 86 | [
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"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... | 133 | [
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"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... |
null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone.match_3 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone | abbrev | 346 | [
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"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCate... | 512 | [
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"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCate... |
null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone.match_5 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone | abbrev | 198 | [
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"CategoryTheory.Category.opposite",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"Cat... | 339 | [
"CategoryTheory.Category",
"CategoryTheory.Category.opposite",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"Cat... |
null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone.match_7 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone | abbrev | 166 | [
"CategoryTheory.Category",
"CategoryTheory.Category.opposite",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"Cat... | 290 | [
"CategoryTheory.Category",
"CategoryTheory.Category.opposite",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"Cat... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.cocone_app | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 300 | [
"CategoryTheory.Category",
"CategoryTheory.Category.opposite",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.comp",
"CategoryTheory.Func... | 181 | [
"CategoryTheory.Category",
"CategoryTheory.Category.opposite",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.comp",
"CategoryTheory.Functor.const",
"CategoryTheory.Functor.obj... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.comp_val | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 148 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.... | 133 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.comp_val_assoc | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 174 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.... | 287 | [
"CategoryTheory.Category",
"CategoryTheory.Category.assoc",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
... |
null | true | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.congr_simp | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 54 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.types",
"Eq",
"Finite",
"FintypeCat"
] | 83 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.types",
"Eq",
"Eq.rec",
"Eq.refl",
"Finite",
"FintypeCat"
] |
4 | true | false | definition | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.ctorIdx | CategoryTheory.PreGaloisCategory.PointedGaloisObject | regular | 34 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.types",
"Finite",
"FintypeCat",
"Nat"
] | 34 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.types",
"Finite",
"FintypeCat"
] |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.hom_ext | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 132 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.... | 123 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.hom_ext_iff | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 133 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.... | 342 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.id_val | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 83 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.id",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.Po... | 78 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.id",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.Po... |
5 | false | false | definition | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.incl | CategoryTheory.PreGaloisCategory.PointedGaloisObject | regular | 42 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCategory",
"CategoryTheory.types",
"Finite",... | 250 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.mk",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
... |
null | true | true | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.incl._proof_3 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.incl | null | 204 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.id",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCate... | 211 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.id",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCate... |
null | true | true | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.incl._proof_4 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.incl | null | 333 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCa... | 341 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCa... |
null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.incl.match_1 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.incl | abbrev | 218 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... | 305 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectPropert... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.incl_map | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 115 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryT... | 106 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryT... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.incl_obj | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 65 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject.incl",
"CategoryTh... | 58 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject.incl",
"CategoryTh... |
4 | false | false | definition | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCategory | CategoryTheory.PreGaloisCategory.PointedGaloisObject | regular | 34 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.types",
"Finite",
"FintypeCat"
] | 175 | [
"CategoryTheory.Category",
"CategoryTheory.Category.mk",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.id",
"CategoryTheory.CategoryStruct.mk",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty... |
null | true | true | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCategory._proof_1 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCategory | null | 141 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.id",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.Full... | 243 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.id",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.map_id",
"CategoryTheory.Functor... |
null | true | true | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCategory._proof_10 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCategory | null | 177 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.PreG... | 349 | [
"CategoryTheory.Category",
"CategoryTheory.Category.assoc",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Funct... |
null | true | true | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCategory._proof_2 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCategory | null | 190 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.Fu... | 370 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"CategoryTheory.Functor.map_comp",
"CategoryTheory.Fun... |
null | true | true | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCategory._proof_6 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCategory | null | 119 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.id",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.Pointe... | 290 | [
"CategoryTheory.Category",
"CategoryTheory.Category.id_comp",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.id",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheo... |
null | true | true | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCategory._proof_8 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCategory | null | 121 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.id",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.Pointe... | 292 | [
"CategoryTheory.Category",
"CategoryTheory.Category.comp_id",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.id",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheo... |
4 | false | false | definition | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCoeDep | CategoryTheory.PreGaloisCategory.PointedGaloisObject | regular | 42 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.types",
"CoeDep",
"Finite",
"FintypeCat"
] | 49 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject.obj",
"CategoryTheory.types",
"CoeDep.mk",
"Fi... |
4 | false | false | definition | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instCoeHomHomObj | CategoryTheory.PreGaloisCategory.PointedGaloisObject | regular | 68 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.... | 79 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instHasColimitOppositeFunctorTypeCompOpInclCoyoneda | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 96 | [
"CategoryTheory.Category",
"CategoryTheory.Category.opposite",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.comp",
"CategoryTheory.Functor.op",
"CategoryTheory.GaloisCategory",
"CategoryTheory.GaloisCategory.toPreGaloisCategory",
"CategoryTheory.Limits.HasColi... | 125 | [
"CategoryTheory.Category",
"CategoryTheory.Category.opposite",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.comp",
"CategoryTheory.Functor.op",
"CategoryTheory.GaloisCategory",
"CategoryTheory.GaloisCategory.toPreGaloisCategory",
"CategoryTheory.Limits.Colimit... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.instIsCofilteredOrEmpty | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 51 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.GaloisCategory.toPreGaloisCategory",
"CategoryTheory.IsCofilteredOrEmpty",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.FiberFunctor",
"CategoryTheory.Pr... | 3,223 | [
"And",
"And.casesOn",
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Discrete",
"CategoryTheory.Functor",
"CategoryTheory.Functor.map",
"... |
7 | false | false | definition | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.isColimit | CategoryTheory.PreGaloisCategory.PointedGaloisObject | regular | 102 | [
"CategoryTheory.Category",
"CategoryTheory.Category.opposite",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.comp",
"CategoryTheory.Functor.op",
"CategoryTheory.GaloisCategory",
"CategoryTheory.GaloisCategory.toPreGaloisCategory",
"CategoryTheory.Limits.IsColim... | 214 | [
"CategoryTheory.Category",
"CategoryTheory.Category.opposite",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.comp",
"CategoryTheory.Functor.mapCocone",
"CategoryTheory.Functor.obj",
"CategoryTheory.Functor.op",
"CategoryTheory.GaloisCategory",
"CategoryTheory... |
null | true | true | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.isColimit._proof_1 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.isColimit | null | 507 | [
"CategoryTheory.Category",
"CategoryTheory.Category.opposite",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.comp",
"CategoryTheory.Functor.const",
"CategoryTheory.Functor.mapCocone",
"CategoryTheory.Functor.obj",
"Categ... | 3,768 | [
"And",
"And.casesOn",
"CategoryTheory.Category",
"CategoryTheory.Category.opposite",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.... |
null | true | true | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.isColimit._proof_2 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.isColimit | null | 762 | [
"CategoryTheory.Category",
"CategoryTheory.Category.opposite",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.comp",
"CategoryTheory.Func... | 5,284 | [
"CategoryTheory.Category",
"CategoryTheory.Category.opposite",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheo... |
null | true | true | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.isColimit._proof_3 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.isColimit | null | 25 | [
"CategoryTheory.Category",
"CategoryTheory.GaloisCategory",
"CategoryTheory.PreGaloisCategory.IsGalois"
] | 28 | [
"CategoryTheory.Category",
"CategoryTheory.GaloisCategory",
"CategoryTheory.PreGaloisCategory.IsGalois",
"inferInstance"
] |
null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.isColimit.match_1 | CategoryTheory.PreGaloisCategory.PointedGaloisObject.isColimit | abbrev | 86 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... | 133 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.isGalois | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 45 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject.obj",... | 34 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.types",
"Finite",
"FintypeCat"
] |
null | true | true | definition | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.isGalois._autoParam | CategoryTheory.PreGaloisCategory.PointedGaloisObject.isGalois | opaque | 1 | [
"Lean.Syntax"
] | 40 | [
"Array.empty",
"Array.push",
"Lean.Name.mkStr1",
"Lean.Name.mkStr4",
"Lean.SourceInfo.none",
"Lean.Syntax",
"Lean.Syntax.node",
"Lean.mkAtom"
] |
null | false | false | constructor | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.mk | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 59 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... | null | [] |
null | true | true | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.mk._flat_ctor | CategoryTheory.PreGaloisCategory.PointedGaloisObject.mk | abbrev | 59 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... | 62 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... |
null | true | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.mk.inj | CategoryTheory.PreGaloisCategory.PointedGaloisObject.mk | null | 116 | [
"And",
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGa... | 178 | [
"And",
"And.intro",
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"Categ... |
null | true | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.mk.injEq | CategoryTheory.PreGaloisCategory.PointedGaloisObject.mk | null | 119 | [
"And",
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGa... | 256 | [
"And",
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGa... |
null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.mk.noConfusion | CategoryTheory.PreGaloisCategory.PointedGaloisObject.mk | abbrev | 121 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... | 180 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... |
null | true | false | theorem | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.mk.sizeOf_spec | CategoryTheory.PreGaloisCategory.PointedGaloisObject.mk | null | 137 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... | 113 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... |
null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.noConfusion | CategoryTheory.PreGaloisCategory.PointedGaloisObject | abbrev | 115 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject.noConfusionType",
"CategoryTheory.types",
"Eq",
... | 556 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... |
null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.noConfusionType | CategoryTheory.PreGaloisCategory.PointedGaloisObject | abbrev | 40 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.types",
"Finite",
"FintypeCat"
] | 139 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... |
null | false | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.obj | CategoryTheory.PreGaloisCategory.PointedGaloisObject | abbrev | 34 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.types",
"Finite",
"FintypeCat"
] | 34 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.types",
"Finite",
"FintypeCat"
] |
null | false | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.pt | CategoryTheory.PreGaloisCategory.PointedGaloisObject | abbrev | 52 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.Pre... | 34 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.PointedGaloisObject",
"CategoryTheory.types",
"Finite",
"FintypeCat"
] |
null | false | false | recursor | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.rec | CategoryTheory.PreGaloisCategory.PointedGaloisObject | null | 75 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... | null | [] |
null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Prorepresentability | CategoryTheory.PreGaloisCategory.PointedGaloisObject.recOn | CategoryTheory.PreGaloisCategory.PointedGaloisObject | abbrev | 76 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... | 83 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.ObjectProperty.FullSubcategory.obj",
"CategoryTheory.PreGaloisCategory.IsGalois",
"CategoryTheory.PreGaloisCateg... |
null | false | false | inductive | Mathlib.CategoryTheory.Galois.Basic | CategoryTheory.PreGaloisCategory.PreservesIsConnected | CategoryTheory.PreGaloisCategory | null | 21 | [
"CategoryTheory.Category",
"CategoryTheory.Functor"
] | null | [] |
null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Basic | CategoryTheory.PreGaloisCategory.PreservesIsConnected.casesOn | CategoryTheory.PreGaloisCategory.PreservesIsConnected | abbrev | 68 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.PreGaloisCategory.IsConnected",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected.mk"
] | 93 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.PreGaloisCategory.IsConnected",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected.mk",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected.r... |
null | false | false | constructor | Mathlib.CategoryTheory.Galois.Basic | CategoryTheory.PreGaloisCategory.PreservesIsConnected.mk | CategoryTheory.PreGaloisCategory.PreservesIsConnected | null | 47 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.PreGaloisCategory.IsConnected",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected"
] | null | [] |
null | true | true | abbrev | Mathlib.CategoryTheory.Galois.Basic | CategoryTheory.PreGaloisCategory.PreservesIsConnected.mk._flat_ctor | CategoryTheory.PreGaloisCategory.PreservesIsConnected.mk | abbrev | 47 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.PreGaloisCategory.IsConnected",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected"
] | 48 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.PreGaloisCategory.IsConnected",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected.mk"
] |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Basic | CategoryTheory.PreGaloisCategory.PreservesIsConnected.preserves | CategoryTheory.PreGaloisCategory.PreservesIsConnected | null | 48 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.PreGaloisCategory.IsConnected",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected"
] | 29 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected"
] |
null | false | false | recursor | Mathlib.CategoryTheory.Galois.Basic | CategoryTheory.PreGaloisCategory.PreservesIsConnected.rec | CategoryTheory.PreGaloisCategory.PreservesIsConnected | null | 67 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.PreGaloisCategory.IsConnected",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected.mk"
] | null | [] |
null | true | false | abbrev | Mathlib.CategoryTheory.Galois.Basic | CategoryTheory.PreGaloisCategory.PreservesIsConnected.recOn | CategoryTheory.PreGaloisCategory.PreservesIsConnected | abbrev | 68 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.PreGaloisCategory.IsConnected",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected.mk"
] | 76 | [
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.obj",
"CategoryTheory.PreGaloisCategory.IsConnected",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected.mk",
"CategoryTheory.PreGaloisCategory.PreservesIsConnected.r... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.IsFundamentalgroup | CategoryTheory.PreGaloisCategory.action_ext_of_isGalois | CategoryTheory.PreGaloisCategory | null | 297 | [
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.obj",
"CategoryTheory.GaloisCategory",
"CategoryTheory.GaloisCa... | 893 | [
"CategoryTheory.Aut",
"CategoryTheory.Aut.instGroup",
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.ConcreteCategory.injective_of_mono_of_preservesPullback",
"CategoryTheory.Functo... |
7 | false | false | definition | Mathlib.CategoryTheory.Galois.Topology | CategoryTheory.PreGaloisCategory.autEmbedding | CategoryTheory.PreGaloisCategory | regular | 90 | [
"CategoryTheory.Aut",
"CategoryTheory.Aut.instGroup",
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.obj",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.types",
"DivInvMonoid.toMonoid",
"Finite",
"Fintyp... | 94 | [
"CategoryTheory.Aut",
"CategoryTheory.Aut.instGroup",
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.obj",
"CategoryTheory.Iso.app",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.autEmbeddi... |
null | true | true | theorem | Mathlib.CategoryTheory.Galois.Topology | CategoryTheory.PreGaloisCategory.autEmbedding._proof_1 | CategoryTheory.PreGaloisCategory.autEmbedding | null | 117 | [
"CategoryTheory.Aut",
"CategoryTheory.Aut.instGroup",
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.obj",
"CategoryTheory.Iso.app",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.types",
"DivInvMonoid.toMo... | 116 | [
"CategoryTheory.Aut",
"CategoryTheory.Aut.instGroup",
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.obj",
"CategoryTheory.Iso.app",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.types",
"DivInvMonoid.toMo... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Topology | CategoryTheory.PreGaloisCategory.autEmbedding_apply | CategoryTheory.PreGaloisCategory | null | 152 | [
"CategoryTheory.Aut",
"CategoryTheory.Aut.instGroup",
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.obj",
"CategoryTheory.Iso.app",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.autEmbeddi... | 142 | [
"CategoryTheory.Aut",
"CategoryTheory.Aut.instGroup",
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.obj",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.autEmbedding",
"CategoryTheory.types... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Topology | CategoryTheory.PreGaloisCategory.autEmbedding_injective | CategoryTheory.PreGaloisCategory | null | 119 | [
"CategoryTheory.Aut",
"CategoryTheory.Aut.instGroup",
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.obj",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.autEmbedding",
"CategoryTheory.types... | 635 | [
"CategoryTheory.Aut",
"CategoryTheory.Aut.ext",
"CategoryTheory.Aut.instGroup",
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.toQuiver",
"CategoryTheory.ConcreteCategory.hom",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"Cate... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Topology | CategoryTheory.PreGaloisCategory.autEmbedding_isClosedEmbedding | CategoryTheory.PreGaloisCategory | null | 133 | [
"CategoryTheory.Aut",
"CategoryTheory.Aut.instGroup",
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.obj",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.autEmbedding",
"CategoryTheory.PreGa... | 163 | [
"CategoryTheory.Aut",
"CategoryTheory.Aut.instGroup",
"CategoryTheory.Category",
"CategoryTheory.Functor",
"CategoryTheory.Functor.category",
"CategoryTheory.Functor.obj",
"CategoryTheory.ObjectProperty.FullSubcategory.category",
"CategoryTheory.PreGaloisCategory.autEmbedding",
"CategoryTheory.PreGa... |
null | false | false | theorem | Mathlib.CategoryTheory.Galois.Topology | CategoryTheory.PreGaloisCategory.autEmbedding_range | CategoryTheory.PreGaloisCategory | null | 198 | [
"CategoryTheory.Arrow",
"CategoryTheory.Arrow.hom",
"CategoryTheory.Arrow.left",
"CategoryTheory.Arrow.right",
"CategoryTheory.Aut",
"CategoryTheory.Aut.instGroup",
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.Category... | 1,415 | [
"CategoryTheory.Arrow",
"CategoryTheory.Arrow.hom",
"CategoryTheory.Arrow.left",
"CategoryTheory.Arrow.right",
"CategoryTheory.Aut",
"CategoryTheory.Aut.instGroup",
"CategoryTheory.Category",
"CategoryTheory.Category.toCategoryStruct",
"CategoryTheory.CategoryStruct.comp",
"CategoryTheory.Category... |
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