Theorems · Theorem · category theory
CategoryTheory.Comma.inv_right
∀ {B : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} B] {A : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} A]
{T : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} T] {R : CategoryTheory.Functor B T}
{L : CategoryTheory.Functor A T} {X Y : CategoryTheory.Comma L R} (e : Y ⟶ X) [inst_3 : CategoryTheory.IsIso e],
(CategoryTheory.inv e).right = CategoryTheory.inv e.right- Defined in
- Mathlib.CategoryTheory.Comma.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.Comma.rightstatement and proof · cited by 727
- CategoryTheory.Commastatement and proof · cited by 566
- CategoryTheory.invstatement · cited by 467
- CategoryTheory.CommaMorphism.rightstatement and proof · cited by 391
- CategoryTheory.IsIso.inv_hom_idproof · cited by 88
- CategoryTheory.IsIso.eq_inv_of_inv_hom_idproof · cited by 10
- CategoryTheory.Comma.comp_rightproof · cited by 1
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