Theorems · Theorem · group theory
AddLocalization.addEquivOfQuotient_mk
∀ {M : Type u_1} [inst : AddCommMonoid M] {S : AddSubmonoid M} {N : Type u_2} [inst_1 : AddCommMonoid N]
{f : S.LocalizationMap N} (x : M) (y : ↥S),
(AddLocalization.addEquivOfQuotient f) (AddLocalization.mk x y) = f.mk' x y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
Around this declaration
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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
- AddCommMonoidstatement and proof · cited by 12,281
- AddSubmonoidstatement and proof · cited by 1,178
- AddEquivstatement · cited by 1,087
- AddSubmonoid.LocalizationMapstatement and proof · cited by 119
- AddSubmonoid.LocalizationMap.mk'statement and proof · cited by 44
- AddLocalizationstatement and proof · cited by 38
- AddLocalization.mkstatement · cited by 28
- AddLocalization.addEquivOfQuotientstatement and proof · cited by 7
- AddLocalization.mk_eq_addMonoidOf_mk'_applyproof · cited by 3
- AddLocalization.addEquivOfQuotient_mk'proof · cited by 1
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