Theorems · Theorem · category theory
CategoryTheory.Arrow.inv_left
∀ {T : Type u} [inst : CategoryTheory.Category.{v, u} T] {f g : CategoryTheory.Arrow T} (sq : f ⟶ g)
[inst_1 : CategoryTheory.IsIso sq],
CategoryTheory.Arrow.Hom.left (CategoryTheory.inv sq) = CategoryTheory.inv (CategoryTheory.Arrow.Hom.left sq)- Defined in
- Mathlib.CategoryTheory.Comma.Arrow
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.Arrowstatement and proof · cited by 713
- CategoryTheory.invstatement · cited by 467
- CategoryTheory.Arrow.leftstatement and proof · cited by 426
- CategoryTheory.Arrow.Hom.leftstatement and proof · cited by 160
- CategoryTheory.IsIso.hom_inv_idproof · cited by 97
- CategoryTheory.IsIso.eq_inv_of_hom_inv_idproof · cited by 17
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