Theorems · Theorem · category theory
CategoryTheory.Equivalence.core_functor_map_iso_inv
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(E : C ≌ D) {X Y : CategoryTheory.Core C} (f : X ⟶ Y), (E.core.functor.map f).iso.inv = E.functor.map f.iso.inv- Defined in
- Mathlib.CategoryTheory.Core
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- CategoryTheory.Equivalencestatement and proof · cited by 601
- CategoryTheory.Core.ofstatement · cited by 94
- CategoryTheory.Corestatement and proof · cited by 85
- CategoryTheory.CoreHom.isostatement and proof · cited by 76
- CategoryTheory.Core.inclusionstatement · cited by 17
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