Theorems · Theorem · category theory
CategoryTheory.IsIso.of_isIso_comp_right
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y Z : C} (g : Z ⟶ Y) (f : Y ⟶ X) [CategoryTheory.IsIso f]
[CategoryTheory.IsIso (CategoryTheory.CategoryStruct.comp g f)], CategoryTheory.IsIso g- Defined in
- Mathlib.CategoryTheory.Iso
- Cited by
- 8 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.compstatement and proof · cited by 17,999
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.invproof · cited by 467
- CategoryTheory.IsIso.hom_inv_idproof · cited by 97
- CategoryTheory.Category.assoc'proof · cited by 19
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.RightHomologyMapData.quasiIso_iffproof · cited by 6
- CategoryTheory.ShortComplex.LeftHomologyMapData.quasiIso_iffproof · cited by 6
- CategoryTheory.isIso_comp_right_iffproof · cited by 2
- CategoryTheory.ShortComplex.quasiIso_of_comp_rightproof · cited by 1
- CategoryTheory.IsIso.of_isIso_fac_rightproof · cited by 1
- quasiIsoAt_of_comp_rightproof · cited by 1
- CategoryTheory.Monoidal.Reflective.isIso_tfaeproof · cited by 0
- CategoryTheory.regularTopology.equalizerCondition_iff_isIso_liftproof · cited by 0