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Theorems · Theorem · category theory

Semigrp.ext

∀ {X Y : Semigrp} {f g : X ⟶ Y},
  (∀ (x : ↑X), (CategoryTheory.ConcreteCategory.hom f) x = (CategoryTheory.ConcreteCategory.hom g) x) → f = g
Defined in
Mathlib.Algebra.Category.Semigrp.Basic
Cited by
1 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Quot.sound
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Around this declaration

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Semigrp.ext_iff · cited by 0Semigrp.ext_iffDFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homMulHom · cited by 299MulHomCategoryTheory.ConcreteCategory.hom_ext · cited by 48ConcreteCategory.hom_extSemigrp · cited by 25SemigrpSemigrp.carrier · cited by 21Semigrp.carrierSemigrp.extCITED BYCITES

Cites7

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Cited by1

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