Mathlib Map

Theorems · Inductive type · category theory

TypeCat.Fun

Type u_1 → Type u_2 → Type (max u_1 u_2)

A one-field structure wrapping a function between types.

Defined in
Mathlib.CategoryTheory.Types.Basic
Cited by
1,307 results in Mathlib
Foundations
Depth 0 from the axioms, rests on 1 definitions · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.types_congr_hom · cited by 149CategoryTheory.types_cong…TypeCat.Fun.ext · cited by 74Fun.extTypeCat.Fun.toFun · cited by 47Fun.toFunTypeCat.Hom.hom' · cited by 34Hom.hom'CategoryTheory.Presieve.IsSeparatedFor.ext · cited by 29IsSeparatedFor.extCategoryTheory.Limits.Types.jointly_surjective_of_isColimit · cited by 27Types.jointly_surjective_…CategoryTheory.mono_iff_injective · cited by 20CategoryTheory.mono_iff_i…SSet.Truncated.Edge.map · cited by 17Edge.mapCategoryTheory.isIso_iff_bijective · cited by 16CategoryTheory.isIso_iff_…CategoryTheory.Subfunctor.range_obj · cited by 14Subfunctor.range_objCategoryTheory.injective_of_mono · cited by 14CategoryTheory.injective_…CategoryTheory.CategoryOfElements.homMk · cited by 13CategoryOfElements.homMkCategoryTheory.Presieve.IsSheafFor.valid_glue · cited by 12IsSheafFor.valid_glueCategoryTheory.Limits.Types.limit_ext · cited by 11Types.limit_extSSet.Subcomplex.preimage_obj · cited by 11Subcomplex.preimage_objTypeCat.FunCITED BYCITES

Cites0

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Nothing in Mathlib beyond the foundations.

Cited by1,440

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 1,440.