Theorems · Theorem · group theory
Submonoid.LocalizationMap.ofMulEquivOfLocalizations_eq_iff_eq
∀ {M : Type u_1} [inst : CommMonoid M] {S : Submonoid M} {N : Type u_2} [inst_1 : CommMonoid N] {P : Type u_3}
[inst_2 : CommMonoid P] (f : S.LocalizationMap N) {k : N ≃* P} {x : M} {y : P},
(f.ofMulEquivOfLocalizations k) x = y ↔ f x = k.symm y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Submonoidstatement and proof · cited by 3,086
- CommMonoidstatement and proof · cited by 2,264
- MulEquivstatement and proof · cited by 1,142
- MulEquiv.symmstatement · cited by 482
- Submonoid.LocalizationMapstatement and proof · cited by 147
- MulEquiv.toEquivproof · cited by 126
- Equiv.eq_symm_applyproof · cited by 85
- Submonoid.LocalizationMap.ofMulEquivOfLocalizationsstatement · cited by 13
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