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Theorems · Definition · group theory

Submonoid.LocalizationMap.AwayMap.invSelf

{M : Type u_1} →
  [inst : CommMonoid M] → {N : Type u_2} → [inst_1 : CommMonoid N] → (x : M) → Submonoid.LocalizationMap.AwayMap x N → N

Given x : M and a Localization map F : M →* N away from x, invSelf is (F x)⁻¹.

Defined in
Mathlib.GroupTheory.MonoidLocalization.Away
Cited by
0 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidCommMonoid
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CommMonoid · cited by 2264CommMonoidSubmonoid.LocalizationMap.mk' · cited by 49LocalizationMap.mk'Submonoid.LocalizationMap.AwayMap · cited by 2LocalizationMap.AwayMapAwayMap.invSelfCITED BYCITES

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