Mathlib Map

Theorems · Theorem · group theory

Localization.mk_one

∀ {M : Type u_1} [inst : CommMonoid M] {S : Submonoid M}, Localization.mk 1 1 = 1
Defined in
Mathlib.GroupTheory.MonoidLocalization.Basic
Cited by
4 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext
Assumes
CommMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

HomogeneousLocalization.val_one · cited by 6HomogeneousLocalization.v…Localization.mkHom · cited by 3Localization.mkHomLocalization.mk_self · cited by 2Localization.mk_selfHomogeneousLocalization.Away.isLocalization_mul · cited by 2Away.isLocalization_mulLocalization.mk_prod · cited by 1Localization.mk_prodSubmonoid · cited by 3086SubmonoidCommMonoid · cited by 2264CommMonoidLocalization · cited by 270LocalizationLocalization.mk · cited by 110Localization.mkOreLocalization.one_def · cited by 10OreLocalization.one_defLocalization.mk_oneCITED BYCITES

Cites5

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

Cited by5

Results whose statement or proof uses this declaration.