Theorems · Theorem · category theory
AddSemigrp.ofHom_apply
∀ {X Y : Type u} [inst : AddSemigroup X] [inst_1 : AddSemigroup Y] (f : X →ₙ+ Y) (x : X),
(CategoryTheory.ConcreteCategory.hom (AddSemigrp.ofHom f)) x = f x- Defined in
- Mathlib.Algebra.Category.Semigrp.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- AddSemigroupAddSemigroup
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- AddHomstatement and proof · cited by 294
- AddSemigroupstatement and proof · cited by 136
- AddSemigrpstatement · cited by 25
- AddSemigrp.carrierstatement · cited by 21
- AddSemigrp.ofstatement · cited by 9
- AddSemigrp.ofHomstatement · cited by 8
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