Mathlib Map

Theorems · Theorem · group theory

Submonoid.LocalizationMap.map_id

∀ {M : Type u_1} [inst : CommMonoid M] {S : Submonoid M} {N : Type u_2} [inst_1 : CommMonoid N]
  (f : S.LocalizationMap N) (z : N), (f.map ⋯ f) z = z
Defined in
Mathlib.GroupTheory.MonoidLocalization.Maps
Cited by
0 results in Mathlib
Foundations
Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidCommMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

DFunLike.coe · cited by 62936DFunLike.coeMonoidHom · cited by 3629MonoidHomSubmonoid · cited by 3086SubmonoidCommMonoid · cited by 2264CommMonoidMonoidHom.id · cited by 323MonoidHom.idSubmonoid.LocalizationMap · cited by 147Submonoid.LocalizationMapSubmonoid.LocalizationMap.map · cited by 16LocalizationMap.mapSubmonoid.LocalizationMap.lift_id · cited by 3LocalizationMap.lift_idLocalizationMap.map_idCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.