Theorems · Definition · category theory
AddSemigrp.ofHom
{X Y : Type u} → [inst : AddSemigroup X] → [inst_1 : AddSemigroup Y] → (X →ₙ+ Y) → (AddSemigrp.of X ⟶ AddSemigrp.of Y)Typecheck an AddHom as a morphism in AddSemigrp.
- Defined in
- Mathlib.Algebra.Category.Semigrp.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
- Assumes
- AddSemigroupAddSemigroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- AddHomstatement and proof · cited by 294
- AddSemigroupstatement and proof · cited by 136
- AddSemigrpstatement · cited by 25
- CategoryTheory.ConcreteCategory.ofHomproof · cited by 18
- AddSemigrp.ofstatement · cited by 9
Cited by9
Results whose statement or proof uses this declaration.
- AddEquiv.toAddSemigrpIsoproof · cited by 2
- AddSemigrp.ofHom_applystatement · cited by 0
- AddSemigrp.ofHom_compstatement · cited by 0
- AddSemigrp.addEquiv_coe_eqstatement · cited by 0
- AddSemigrp.ofHom_homstatement · cited by 0
- AddSemigrp.ofHom_idstatement · cited by 0
- AddEquiv.toAddSemigrpIso_homstatement · cited by 0
- AddEquiv.toAddSemigrpIso_invstatement · cited by 0
- AddSemigrp.hom_ofHomstatement · cited by 0