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Theorems · Theorem · group theory

Submonoid.LocalizationMap.sec_spec

∀ {M : Type u_1} [inst : CommMonoid M] {S : Submonoid M} {N : Type u_2} [inst_1 : CommMonoid N]
  {f : S.LocalizationMap N} (z : N), z * f ↑(f.sec z).2 = f (f.sec z).1
Defined in
Mathlib.GroupTheory.MonoidLocalization.Basic
Cited by
2 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidCommMonoid
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Submonoid.LocalizationMap.sec_spec' · cited by 6LocalizationMap.sec_spec'Submonoid.LocalizationMap.mk'_sec · cited by 5LocalizationMap.mk'_secDFunLike.coe · cited by 62936DFunLike.coeSubmonoid · cited by 3086SubmonoidCommMonoid · cited by 2264CommMonoidSubmonoid.LocalizationMap · cited by 147Submonoid.LocalizationMapSubmonoid.LocalizationMap.sec · cited by 26LocalizationMap.secSubmonoid.LocalizationMap.surj · cited by 15LocalizationMap.surjLocalizationMap.sec_specCITED BYCITES

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