Theorems · Inductive type · category theory
CategoryTheory.MorphismProperty.IsStableUnderBaseChange
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.MorphismProperty C → PropA morphism property is IsStableUnderBaseChange if the base change of such a morphism
still falls in the class.
- Cited by
- 131 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 8 definitions · 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 by180
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.Over.pullbackstatement and proof · cited by 42
- AlgebraicGeometry.Scheme.Cover.pullbackHomstatement and proof · cited by 32
- AlgebraicGeometry.Scheme.Cover.ColimitGluingDatastatement · cited by 26
- AlgebraicGeometry.Scheme.Cover.Overstatement · cited by 23
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.coconestatement and proof · cited by 16
- CategoryTheory.MorphismProperty.of_isPullbackstatement · cited by 14
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.prop_transstatement and proof · cited by 9
- CategoryTheory.MorphismProperty.pretopologystatement and proof · cited by 8
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.gluedstatement and proof · cited by 7
- AlgebraicGeometry.Scheme.Cover.toPresieveOverstatement and proof · cited by 6
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.relativeGluingDatastatement and proof · cited by 6
- AlgebraicGeometry.Scheme.Cover.ColimitGluingData.transitionMapstatement and proof · cited by 6