Theorems · Theorem · group theory
Finset.nsmul_empty
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : AddMonoid α] {n : ℕ}, n ≠ 0 → n • ∅ = ∅- Cited by
- 4 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAddMonoid
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.
- Finsetstatement · cited by 13,712
- AddMonoidstatement and proof · cited by 2,864
- succ_nsmulproof · cited by 65
- Finset.nsmulstatement · cited by 30
- Finset.add_emptyproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- Finset.zsmul_emptyproof · cited by 2
- Finset.card_nsmul_monoproof · cited by 1
- Finset.nsmul_eq_emptyproof · cited by 0
- Finset.small_alternating_nsmul_of_small_triplingproof · cited by 0