Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.inverseImage_map_eq_of_isEquivalence
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_1} [inst_1 : CategoryTheory.Category.{v_1, u_1} D]
(P : CategoryTheory.MorphismProperty C) [P.RespectsIso] (F : CategoryTheory.Functor C D) [F.IsEquivalence],
(P.map F).inverseImage F = P- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Equivalence.inverseproof · cited by 1,130
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Equivalence.unitIsoproof · cited by 536
- CategoryTheory.MorphismProperty.RespectsIsostatement and proof · cited by 248
- CategoryTheory.Functor.IsEquivalencestatement and proof · cited by 111
- CategoryTheory.MorphismProperty.inverseImagestatement · cited by 83
- CategoryTheory.Functor.asEquivalenceproof · cited by 58
- CategoryTheory.MorphismProperty.mapstatement and proof · cited by 24
- CategoryTheory.MorphismProperty.map_mapproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.IsLocalization.compproof · cited by 1