Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.pushouts_monotone
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C], Monotone CategoryTheory.MorphismProperty.pushouts- Cited by
- 3 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.
Cites6
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
- Monotonestatement · cited by 1,397
- CategoryTheory.IsPushoutproof · cited by 219
- CategoryTheory.MorphismProperty.pushoutsstatement and proof · cited by 35
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.pushouts_le_llp_rlpproof · cited by 1
- CategoryTheory.MorphismProperty.pushouts_le_iffproof · cited by 0
- CategoryTheory.IsGrothendieckAbelian.llp_rlp_monomorphismsproof · cited by 0