Theorems · Definition · category theory
CategoryTheory.Equivalence.symmEquivFunctor
(C : Type u_1) →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
(D : Type u_2) → [inst_1 : CategoryTheory.Category.{v_2, u_2} D] → CategoryTheory.Functor (C ≌ D) (D ≌ C)ᵒᵖThe forward functor of the equivalence (C ≌ D) ≌ (D ≌ C)ᵒᵖ.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- Quiver.Hom.opproof · cited by 1,948
- CategoryTheory.Equivalencestatement and proof · cited by 601
- CategoryTheory.Equivalence.symmproof · cited by 195
- CategoryTheory.Equivalence.toAdjunctionproof · cited by 60
- CategoryTheory.conjugateEquivproof · cited by 51
- CategoryTheory.Equivalence.asNatTransproof · cited by 14
- CategoryTheory.Equivalence.mkHomproof · cited by 12
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Equivalence.symmEquivproof · cited by 5
- CategoryTheory.Equivalence.symmEquiv_unitIsostatement · cited by 0
- CategoryTheory.Equivalence.symmEquivFunctor_mapstatement and proof · cited by 0
- CategoryTheory.Equivalence.symmEquivFunctor_objstatement and proof · cited by 0
- CategoryTheory.Equivalence.symmEquiv_counitIsostatement · cited by 0
- CategoryTheory.Equivalence.symmEquiv_functorstatement · cited by 0