Theorems · Theorem · group theory
AddSubmonoid.LocalizationMap.top_injective_iff
∀ {M : Type u_1} {N : Type u_2} [inst : AddCommMonoid M] [inst_1 : AddCommMonoid N] (f : ⊤.LocalizationMap N),
Function.Injective ⇑f ↔ IsCancelAdd M- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Top.topstatement and proof · cited by 9,680
- AddSubmonoidstatement · cited by 1,178
- AddSubmonoid.LocalizationMapstatement and proof · cited by 119
- IsCancelAddstatement · cited by 79
- IsAddRegularproof · cited by 43
- AddSubmonoid.mem_topproof · cited by 20
- isCancelAdd_iff_forall_isAddRegularproof · cited by 2
- AddSubmonoid.LocalizationMap.injective_iffproof · cited by 1
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