Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.RespectsLeft.sInf
∀ {C : Type u} [inst : CategoryTheory.CategoryStruct.{v, u} C] {W : Set (CategoryTheory.MorphismProperty C)}
{Q : CategoryTheory.MorphismProperty C}, (∀ W' ∈ W, W'.RespectsLeft Q) → (sInf W).RespectsLeft Q- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 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.
- Setstatement and proof · cited by 53,352
- Quiver.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- InfSet.sInfstatement and proof · cited by 935
- CategoryTheory.CategoryStructstatement and proof · cited by 343
- CategoryTheory.MorphismProperty.RespectsLeftstatement and proof · cited by 6
- CategoryTheory.MorphismProperty.RespectsLeft.precompproof · cited by 5
- CategoryTheory.MorphismProperty.sInf_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.RespectsIso.sInfproof · cited by 0