Theorems · Theorem · group theory
Set.Nontrivial.nsmul
∀ {α : Type u_2} [inst : AddCancelMonoid α] {s : Set α}, s.Nontrivial → ∀ {n : ℕ}, n ≠ 0 → (n • s).Nontrivial- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCancelMonoid
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.Nontrivialstatement and proof · cited by 145
- AddCancelMonoidstatement and proof · cited by 23
- Set.addMonoidstatement · cited by 18
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