Theorems · Theorem · category theory
CategoryTheory.Cat.FreeRefl.morphismProperty_eq_top
∀ {V : Type u_1} [inst : CategoryTheory.ReflQuiver V]
{W : CategoryTheory.MorphismProperty (CategoryTheory.Cat.FreeRefl V)} [W.IsMultiplicative],
(∀ {x y : V} (e : x ⟶ y), W (CategoryTheory.Cat.FreeRefl.homMk e)) → W = ⊤- Defined in
- Mathlib.CategoryTheory.Category.ReflQuiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Top.topstatement · cited by 9,680
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- le_antisymmproof · cited by 2,068
- CategoryTheory.MorphismProperty.IsMultiplicativestatement and proof · cited by 332
- CategoryTheory.ReflQuiverstatement and proof · cited by 64
- CategoryTheory.Cat.FreeReflstatement and proof · cited by 34
- CategoryTheory.MorphismProperty.ofHoms.casesOnproof · cited by 26
- CategoryTheory.Cat.FreeRefl.mkstatement and proof · cited by 17
- CategoryTheory.Cat.FreeRefl.homMkstatement and proof · cited by 13
- CategoryTheory.Cat.FreeRefl.morphismPropertyHomMkproof · cited by 5
- CategoryTheory.MorphismProperty.multiplicativeClosure_le_iffproof · cited by 4
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