Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.le_isLocal_iff
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (P : CategoryTheory.ObjectProperty C)
(W : CategoryTheory.MorphismProperty C), W ≤ P.isLocal ↔ P ≤ W.isLocal- 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
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.MorphismProperty.isLocalstatement and proof · cited by 22
- CategoryTheory.ObjectProperty.isLocalstatement and proof · cited by 20
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.le_isLocal_isLocalproof · cited by 0
- CategoryTheory.ObjectProperty.le_isLocal_isLocalproof · cited by 0
- CategoryTheory.ObjectProperty.galoisConnection_isLocalproof · cited by 0