Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.of_postcomp
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (W : CategoryTheory.MorphismProperty C)
{W' : CategoryTheory.MorphismProperty C} [W.HasOfPostcompProperty W'] {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z),
W' g → W (CategoryTheory.CategoryStruct.comp f g) → W f- Cited by
- 17 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.MorphismProperty.HasOfPostcompPropertystatement and proof · cited by 25
- CategoryTheory.MorphismProperty.HasOfPostcompProperty.of_postcompproof · cited by 3
Cited by17
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.postcomp_iffproof · cited by 4
- AlgebraicGeometry.IsAffineHom.of_compproof · cited by 3
- AlgebraicGeometry.IsClosedImmersion.of_compproof · cited by 3
- AlgebraicGeometry.IsProper.of_compproof · cited by 3
- AlgebraicGeometry.IsFinite.of_compproof · cited by 2
- HomotopicalAlgebra.weakEquivalence_of_postcompproof · cited by 2
- AlgebraicGeometry.IsIntegralHom.of_compproof · cited by 1
- AlgebraicGeometry.UniversallyClosed.of_comp_of_isSeparatedproof · cited by 1
- AlgebraicGeometry.IsOpenImmersion.of_flat_of_monoproof · cited by 0
- CategoryTheory.GrothendieckTopology.PreservesSheafification.transportproof · cited by 0
- CategoryTheory.CostructuredArrow.closedUnderLimitsOfShape_walkingCospanproof · cited by 0