Theorems · Theorem · group theory
Localization.mulEquivOfQuotient_mk
∀ {M : Type u_1} [inst : CommMonoid M] {S : Submonoid M} {N : Type u_2} [inst_1 : CommMonoid N]
{f : S.LocalizationMap N} (x : M) (y : ↥S), (Localization.mulEquivOfQuotient f) (Localization.mk x y) = f.mk' x y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Submonoidstatement and proof · cited by 3,086
- CommMonoidstatement and proof · cited by 2,264
- MulEquivstatement · cited by 1,142
- Localizationstatement and proof · cited by 270
- Submonoid.LocalizationMapstatement and proof · cited by 147
- Localization.mkstatement · cited by 110
- Submonoid.LocalizationMap.mk'statement and proof · cited by 49
- Localization.mulEquivOfQuotientstatement and proof · cited by 7
- Localization.mk_eq_monoidOf_mk'_applyproof · cited by 4
- Localization.mulEquivOfQuotient_mk'proof · cited by 1
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