Theorems · Theorem · category theory
CategoryTheory.Iso.symm_self_id_assoc
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y Z : C} (α : X ≅ Y) (β : Y ≅ Z), α.symm ≪≫ α ≪≫ β = β- Defined in
- Mathlib.CategoryTheory.Iso
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Isostatement and proof · cited by 3,963
- CategoryTheory.Iso.symmstatement and proof · cited by 993
- CategoryTheory.Iso.transstatement and proof · cited by 566
- CategoryTheory.Iso.trans_assocproof · cited by 39
- CategoryTheory.Iso.refl_transproof · cited by 27
- CategoryTheory.Iso.symm_self_idproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Pseudofunctor.whiskerRightIso_mapIdproof · cited by 1
- CategoryTheory.Pseudofunctor.whiskerLeftIso_mapIdproof · cited by 1