Theorems · Theorem · category theory
CategoryTheory.Functor.objEquiv_apply_symm_apply
∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
[inst_1 : CategoryTheory.Category.{v_2, u_2} D] (F : CategoryTheory.Functor C D) [inst_2 : F.IsIso] (Y : D),
F.obj (F.objEquiv.symm Y) = Y- Defined in
- Mathlib.CategoryTheory.IsoCat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Classical.choice, Quot.sound
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Cites9
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- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Equivstatement · cited by 8,337
- Equiv.symmstatement · cited by 3,681
- Equiv.apply_symm_applyproof · cited by 346
- CategoryTheory.Functor.IsIsostatement and proof · cited by 4
- CategoryTheory.Functor.objEquivstatement and proof · cited by 3
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