Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.ContainsIdentities.iff_identities_le
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {W : CategoryTheory.MorphismProperty C},
W.ContainsIdentities ↔ CategoryTheory.MorphismProperty.identities C ≤ W- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites7
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.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.ContainsIdentitiesstatement and proof · cited by 94
- CategoryTheory.MorphismProperty.identitiesstatement and proof · cited by 13
- CategoryTheory.MorphismProperty.ContainsIdentities.id_memproof · cited by 4
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