Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.ContainsIdentities.sInf
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {W : Set (CategoryTheory.MorphismProperty C)},
(∀ W' ∈ W, W'.ContainsIdentities) → (sInf W).ContainsIdentities- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 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.
Cites8
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
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- InfSet.sInfstatement · cited by 935
- CategoryTheory.MorphismProperty.ContainsIdentitiesstatement and proof · cited by 94
- CategoryTheory.MorphismProperty.ContainsIdentities.id_memproof · cited by 4
- CategoryTheory.MorphismProperty.sInf_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.IsMultiplicative.sInfproof · cited by 0