Theorems · Inductive type · category theory

CategoryTheory.MorphismProperty.HasPushoutsAgainst

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    CategoryTheory.MorphismProperty C → CategoryTheory.MorphismProperty C → Prop

P.HasPushoutsAgainst P' states that for any morphism f satisfying P', P has pushouts along f.

Defined in: Mathlib.CategoryTheory.MorphismProperty.Limits
Cited by: 3 results in Mathlib
Foundations: Depth 3 from the axioms · uses no axioms
Assumes: CategoryTheory.Category

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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 by5

Results whose statement or proof uses this declaration.

CategoryTheory.MorphismProperty.HasPushoutsAgainst.recOnstatement and proof · cited by 0
CategoryTheory.Limits.hasPushout_ofHasPushoutsAgainststatement and proof · cited by 0
CategoryTheory.MorphismProperty.hasPushoutsAgainst_top_iffstatement and proof · cited by 0
CategoryTheory.MorphismProperty.HasPushoutsAgainst.casesOnstatement and proof · cited by 0
CategoryTheory.MorphismProperty.HasPushoutsAgainst.hasPushoutsAlongstatement and proof · cited by 0