Theorems · Theorem · category theory
CategoryTheory.eq_of_inv_eq_inv
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} {f g : X ⟶ Y} [inst_1 : CategoryTheory.IsIso f]
[inst_2 : CategoryTheory.IsIso g], CategoryTheory.inv f = CategoryTheory.inv g → f = g- Defined in
- Mathlib.CategoryTheory.Iso
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.compproof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.invstatement and proof · cited by 467
- CategoryTheory.cancel_epiproof · cited by 380
- CategoryTheory.IsIso.inv_hom_idproof · cited by 88
Cited by19
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalCategory.whiskerLeft_rightUnitor_invproof · cited by 8
- CategoryTheory.MonoidalCategory.leftUnitor_inv_whiskerRightproof · cited by 7
- CategoryTheory.Bicategory.whiskerLeft_rightUnitor_invproof · cited by 7
- CategoryTheory.MonoidalCategory.pentagon_invproof · cited by 4
- CategoryTheory.Bicategory.leftUnitor_inv_whiskerRightproof · cited by 3
- CategoryTheory.Bicategory.pentagon_invproof · cited by 3
- CategoryTheory.Limits.IsTerminal.strict_hom_extproof · cited by 2
- CategoryTheory.MonoidalCategory.pentagon_hom_hom_inv_inv_homproof · cited by 2
- CategoryTheory.BraidedCategory.braiding_tensor_left_invproof · cited by 2
- CategoryTheory.MonoidalCategory.pentagon_inv_hom_hom_hom_invproof · cited by 2
- CategoryTheory.BraidedCategory.braiding_tensor_right_invproof · cited by 2
- CategoryTheory.MonoidalCategory.pentagon_inv_inv_hom_inv_invproof · cited by 2