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Theorems · Theorem · group theory

Submonoid.LocalizationMap.map_left_cancel

∀ {M : Type u_1} [inst : CommMonoid M] {S : Submonoid M} {N : Type u_2} [inst_1 : CommMonoid N]
  (f : S.LocalizationMap N) {x y : M} {c : ↥S}, f (x * ↑c) = f (y * ↑c) → f x = f y
Defined in
Mathlib.GroupTheory.MonoidLocalization.Basic
Cited by
1 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
Assumes
CommMonoidCommMonoid
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Around this declaration

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IsLocalization.map_left_cancel · cited by 0IsLocalization.map_left_c…DFunLike.coe · cited by 62936DFunLike.coeSubmonoid · cited by 3086SubmonoidCommMonoid · cited by 2264CommMonoidmul_comm · cited by 2262mul_commSubmonoid.LocalizationMap · cited by 147Submonoid.LocalizationMapSubmonoid.LocalizationMap.map_right_cancel · cited by 2LocalizationMap.map_right…LocalizationMap.map_left_canc…CITED BYCITES

Cites6

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Cited by1

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