Mathlib Map

Theorems · Definition · group theory

AddSubmonoid.LocalizationMap.toAddHom

{M : Type u_1} →
  [inst : AddCommMonoid M] →
    {S : AddSubmonoid M} → {N : Type u_2} → [inst_1 : AddCommMonoid N] → S.LocalizationMap N → M →ₙ+ N

The additive homomorphism underlying a LocalizationMap of AddCommMonoids.

Defined in
Mathlib.GroupTheory.MonoidLocalization.Basic
Cited by
3 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
AddCommMonoidAddCommMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddSubmonoid.LocalizationMap.toAddMonoidHom · cited by 29LocalizationMap.toAddMono…AddSubmonoid.LocalizationMap.isLocalizationMap · cited by 5LocalizationMap.isLocaliz…AddSubmonoid.LocalizationMap.toAddMonoidHom_injective · cited by 1LocalizationMap.toAddMono…AffineAddMonoid.embedding_injective · cited by 0AffineAddMonoid.embedding…AddCommMonoid · cited by 12281AddCommMonoidAddSubmonoid · cited by 1178AddSubmonoidAddHom · cited by 294AddHomAddSubmonoid.LocalizationMap · cited by 119AddSubmonoid.Localization…LocalizationMap.toAddHomCITED BYCITES

Cites4

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Cited by4

Results whose statement or proof uses this declaration.