Theorems · Inductive type · category theory
CategoryTheory.MorphismProperty.HasOfPrecompProperty
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
CategoryTheory.MorphismProperty C → CategoryTheory.MorphismProperty C → PropA class of morphisms W has the of-precomp property w.r.t. W' if whenever
f is in W' and f ≫ g is in W, also g is in W.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.MorphismPropertystatement · cited by 2,179
Cited by11
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.of_precompstatement and proof · cited by 5
- CategoryTheory.MorphismProperty.precomp_iffstatement and proof · cited by 5
- CategoryTheory.MorphismProperty.Under.mapPushoutAdjstatement and proof · cited by 3
- CategoryTheory.MorphismProperty.HasOfPrecompProperty.of_precompstatement and proof · cited by 1
- CategoryTheory.MorphismProperty.HasTwoOutOfThreeProperty.casesOnstatement and proof · cited by 0
- CategoryTheory.MorphismProperty.Under.mapPushoutAdj_counit_appstatement and proof · cited by 0
- CategoryTheory.MorphismProperty.Under.mapPushoutAdj_unit_appstatement and proof · cited by 0
- CategoryTheory.MorphismProperty.HasTwoOutOfThreeProperty.recOnstatement and proof · cited by 0
- CategoryTheory.MorphismProperty.HasOfPrecompProperty.casesOnstatement and proof · cited by 0
- CategoryTheory.MorphismProperty.HasOfPrecompProperty.of_lestatement and proof · cited by 0
- CategoryTheory.MorphismProperty.HasOfPrecompProperty.recOnstatement and proof · cited by 0