Theorems · Theorem · order theory
nsmul_pos
∀ {M : Type u_3} [inst : AddMonoid M] [inst_1 : Preorder M] [AddLeftMono M] {a : M},
0 < a → ∀ {k : ℕ}, k ≠ 0 → 0 < k • a- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- AddMonoidPreorderAddLeftMono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- AddMonoidstatement and proof · cited by 2,864
- AddLeftMonostatement and proof · cited by 687
- nsmul_negproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- zsmul_posproof · cited by 1