Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.cancel_left_of_respectsIso
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.MorphismProperty C) [hP : P.RespectsIso]
{X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [CategoryTheory.IsIso f], P (CategoryTheory.CategoryStruct.comp f g) ↔ P g- Cited by
- 33 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.
Cites9
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.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.invproof · cited by 467
- CategoryTheory.MorphismProperty.RespectsIsostatement and proof · cited by 248
- CategoryTheory.IsIso.inv_hom_id_assocproof · cited by 37
- CategoryTheory.MorphismProperty.RespectsIso.precompproof · cited by 3
Cited by33
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.HasAffineProperty.isStableUnderBaseChangeproof · cited by 3
- AlgebraicGeometry.IsIntegralHom.iff_universallyClosed_and_isAffineHomproof · cited by 2
- AlgebraicGeometry.HasRingHomProperty.stalkMap_of_respectsIsoproof · cited by 2
- AlgebraicGeometry.of_pullback_fst_Spec_of_codescendsAlongproof · cited by 2
- CategoryTheory.MorphismProperty.IsStableUnderBaseChange.mk'proof · cited by 2
- AlgebraicGeometry.IsZariskiLocalAtSource.mk'proof · cited by 2
- AlgebraicGeometry.IsZariskiLocalAtSource.of_openCoverproof · cited by 2
- AlgebraicGeometry.IsZariskiLocalAtTarget.descendsAlong_inf_quasiCompactproof · cited by 2
- AlgebraicGeometry.isFinite_iff_locallyOfFiniteType_of_jacobsonSpaceproof · cited by 1
- AlgebraicGeometry.isGermInjectiveAt_iff_of_isOpenImmersionproof · cited by 1
- AlgebraicGeometry.HasRingHomProperty.of_stalkMapproof · cited by 1