Theorems · Theorem · group theory
Set.zsmul_empty
∀ {α : Type u_2} [inst : SubtractionMonoid α] {n : ℤ}, n ≠ 0 → n • ∅ = ∅- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SubtractionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SubtractionMonoidstatement and proof · cited by 208
- natCast_zsmulproof · cited by 118
- negSucc_zsmulproof · cited by 45
- Set.ZSMulstatement · cited by 5
- Set.nsmul_emptyproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Set.zsmul_eq_emptyproof · cited by 0