Mathlib Map

Theorems · Theorem · group theory

Submonoid.LocalizationMap.ext_iff

∀ {M : Type u_1} [inst : CommMonoid M] {S : Submonoid M} {N : Type u_2} [inst_1 : CommMonoid N]
  {f g : S.LocalizationMap N}, f = g ↔ ∀ (x : M), f x = g x
Defined in
Mathlib.GroupTheory.MonoidLocalization.Basic
Cited by
1 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Quot.sound
Assumes
CommMonoidCommMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Submonoid.LocalizationMap.of_mulEquivOfMulEquiv_apply · cited by 1LocalizationMap.of_mulEqu…DFunLike.coe · cited by 62936DFunLike.coeSubmonoid · cited by 3086SubmonoidCommMonoid · cited by 2264CommMonoidSubmonoid.LocalizationMap · cited by 147Submonoid.LocalizationMapSubmonoid.LocalizationMap.ext · cited by 3LocalizationMap.extLocalizationMap.ext_iffCITED BYCITES

Cites5

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

Cited by1

Results whose statement or proof uses this declaration.