Theorems · Theorem · category theory
CategoryTheory.SmallCategoryOfSet.assoc
∀ {Ω : Type w} (self : CategoryTheory.SmallCategoryOfSet Ω) {X Y Z T : ↑self.obj} (f : ↑(self.hom X Y))
(g : ↑(self.hom Y Z)) (h : ↑(self.hom Z T)), self.comp (self.comp f g) h = self.comp f (self.comp g h)- Cited by
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- Foundations
- Depth 7 from the axioms · uses no axioms
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemstatement · cited by 7,166
- CategoryTheory.SmallCategoryOfSetstatement and proof · cited by 11
- CategoryTheory.SmallCategoryOfSet.objstatement · cited by 10
- CategoryTheory.SmallCategoryOfSet.homstatement · cited by 6
- CategoryTheory.SmallCategoryOfSet.compstatement · cited by 5
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