Theorems · Theorem · group theory
Set.subset_nsmul
∀ {α : Type u_2} [inst : AddMonoid α] {s : Set α} {n : ℕ}, 0 ∈ s → n ≠ 0 → s ⊆ n • s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- AddMonoidstatement and proof · cited by 2,864
- one_nsmulproof · cited by 63
- Set.NSMulstatement · cited by 42
- Set.nsmul_subset_nsmul_rightproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- AddSubgroup.closure_nsmulproof · cited by 1
- AddSubmonoid.closure_nsmulproof · cited by 0