Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.isStableUnderCobaseChange_iff_pushouts_le
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {P : CategoryTheory.MorphismProperty C},
P.IsStableUnderCobaseChange ↔ P.pushouts ≤ P- Cited by
- 2 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Homproof · cited by 32,603
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.IsPushoutproof · cited by 219
- CategoryTheory.MorphismProperty.pushoutsstatement and proof · cited by 35
- CategoryTheory.MorphismProperty.IsStableUnderCobaseChangestatement and proof · cited by 33
- CategoryTheory.MorphismProperty.of_isPushoutproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.pushouts_leproof · cited by 1
- CategoryTheory.MorphismProperty.pushouts_le_llp_rlpproof · cited by 1