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Theorems · Theorem · group theory

Set.Nonempty.zsmul

∀ {α : Type u_2} [inst : SubtractionMonoid α] {s : Set α}, s.Nonempty → ∀ {n : ℤ}, (n • s).Nonempty
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Basic
Cited by
1 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SubtractionMonoid
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Around this declaration

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Set.zsmul_eq_empty · cited by 0Set.zsmul_eq_emptySet · cited by 53352SetSet.Nonempty · cited by 2627Set.NonemptySubtractionMonoid · cited by 208SubtractionMonoidnegSucc_zsmul · cited by 45negSucc_zsmulSet.nonempty_neg · cited by 5Set.nonempty_negSet.ZSMul · cited by 5Set.ZSMulSet.Nonempty.nsmul · cited by 2Nonempty.nsmulNonempty.zsmulCITED BYCITES

Cites7

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Cited by1

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