Theorems · Theorem · category theory
CategoryTheory.Functor.preimageIso_mapIso
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(F : CategoryTheory.Functor C D) {X Y : C} [inst_2 : F.Full] [inst_3 : F.Faithful] (f : X ≅ Y),
F.preimageIso (F.mapIso f) = f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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.Iso.homproof · cited by 7,684
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Functor.Fullstatement and proof · cited by 341
- CategoryTheory.Functor.Faithfulstatement and proof · cited by 313
- CategoryTheory.Functor.mapIsostatement and proof · cited by 224
- CategoryTheory.Iso.extproof · cited by 166
- CategoryTheory.Functor.preimageIsostatement · cited by 14
- CategoryTheory.Functor.preimageIso_homproof · cited by 1
- CategoryTheory.Functor.preimage_mapproof · cited by 1
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