Theorems · Theorem · group theory
AddSubmonoid.LocalizationMap.ofAddEquivOfDom_id
∀ {M : Type u_1} [inst : AddCommMonoid M] {S : AddSubmonoid M} {N : Type u_2} [inst_1 : AddCommMonoid N]
(f : S.LocalizationMap N), f.ofAddEquivOfDom ⋯ = fA special case of f ∘ id = f, f a Localization map.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
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Cites13
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
- Setstatement · cited by 53,352
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coestatement and proof · cited by 8,199
- AddMonoidHomstatement · cited by 3,230
- AddSubmonoidstatement and proof · cited by 1,178
- AddSubmonoid.LocalizationMapstatement and proof · cited by 119
- AddEquiv.toAddMonoidHomstatement and proof · cited by 101
- AddSubmonoid.mapstatement and proof · cited by 99
- AddEquiv.reflstatement and proof · cited by 34
- AddSubmonoid.extstatement and proof · cited by 32
- AddSubmonoid.LocalizationMap.ofAddEquivOfDomstatement and proof · cited by 6
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