Theorems · Theorem · group theory
Submonoid.IsLocalizationMap.map_zero
∀ {M : Type u_1} [inst : CommMonoidWithZero M] {S : Submonoid M} {N : Type u_2} [inst_1 : CommMonoidWithZero N]
{F : Type u_4} [inst_2 : FunLike F M N] [MulHomClass F M N] {f : F}, S.IsLocalizationMap ⇑f → f 0 = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
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Cites8
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
- FunLikestatement and proof · cited by 2,560
- CommMonoidWithZerostatement and proof · cited by 913
- MulHomClassstatement and proof · cited by 73
- MulHomClass.toMulHomproof · cited by 31
- Submonoid.IsLocalizationMapstatement and proof · cited by 19
- Submonoid.LocalizationMap.map_zeroproof · cited by 5
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