Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.multiplicativeClosure_eq_self
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (W : CategoryTheory.MorphismProperty C) [W.IsMultiplicative],
W.multiplicativeClosure = WThe multiplicative closure of a multiplicative property is equal to itself.
- 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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- le_antisymmproof · cited by 2,068
- CategoryTheory.MorphismProperty.IsMultiplicativestatement and proof · cited by 332
- CategoryTheory.MorphismProperty.comp_memproof · cited by 48
- CategoryTheory.MorphismProperty.id_memproof · cited by 23
- CategoryTheory.MorphismProperty.multiplicativeClosurestatement and proof · cited by 18
- CategoryTheory.MorphismProperty.le_multiplicativeClosureproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.multiplicativeClosure_eq_self_iffproof · cited by 0