Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.isoClosure_le_iff
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P Q : CategoryTheory.MorphismProperty C) [Q.RespectsIso],
P.isoClosure ≤ Q ↔ P ≤ Q- Cited by
- 2 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- LE.le.transproof · cited by 3,151
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- le_reflproof · cited by 2,061
- CategoryTheory.MorphismProperty.RespectsIsostatement and proof · cited by 248
- CategoryTheory.MorphismProperty.isoClosurestatement · cited by 16
- CategoryTheory.MorphismProperty.le_isoClosureproof · cited by 5
- CategoryTheory.MorphismProperty.isoClosure_eq_selfproof · cited by 3
- CategoryTheory.MorphismProperty.monotone_isoClosureproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.map_le_iffproof · cited by 3
- CategoryTheory.MorphismProperty.map_isoClosureproof · cited by 2