Theorems · Inductive type · category theory
CategoryTheory.MorphismProperty.IsStableUnderCobaseChange
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.MorphismProperty C → PropA morphism property is IsStableUnderCobaseChange if the cobase change of such a morphism
still falls in the class.
- Cited by
- 33 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 by40
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.Under.pushoutstatement and proof · cited by 15
- CategoryTheory.MorphismProperty.of_isPushoutstatement · cited by 5
- CategoryTheory.MorphismProperty.Under.pushoutCompForgetIsostatement and proof · cited by 4
- CategoryTheory.MorphismProperty.Under.mapPushoutAdjstatement and proof · cited by 3
- CategoryTheory.MorphismProperty.IsStableUnderCobaseChange.of_isPushoutstatement and proof · cited by 2
- CategoryTheory.MorphismProperty.isStableUnderCobaseChange_iff_pushouts_lestatement and proof · cited by 2
- CategoryTheory.MorphismProperty.iff_of_isPushoutstatement and proof · cited by 2
- CategoryTheory.MorphismProperty.Under.pushoutCompstatement and proof · cited by 2
- CategoryTheory.MorphismProperty.Under.pushoutCongrstatement and proof · cited by 2
- CategoryTheory.MorphismProperty.IsStableUnderComposition.ind_of_preIndSpreadsstatement and proof · cited by 1
- CategoryTheory.MorphismProperty.underPushoutMapstatement and proof · cited by 1
- RingHom.HasFiniteProducts.preservesFiniteProducts_pushoutstatement and proof · cited by 1