Theorems · Theorem · category theory
Semigrp.ofHom_comp
∀ {X Y Z : Type u} [inst : Semigroup X] [inst_1 : Semigroup Y] [inst_2 : Semigroup Z] (f : X →ₙ* Y) (g : Y →ₙ* Z),
Semigrp.ofHom (g.comp f) = CategoryTheory.CategoryStruct.comp (Semigrp.ofHom f) (Semigrp.ofHom g)- Defined in
- Mathlib.Algebra.Category.Semigrp.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- MulHomstatement and proof · cited by 299
- Semigroupstatement and proof · cited by 202
- MulHom.compstatement · cited by 44
- Semigrpstatement · cited by 25
- Semigrp.ofstatement · cited by 9
- Semigrp.ofHomstatement · cited by 8
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