Theorems · Theorem · order theory
Nonneg.nsmul_mk
∀ {α : Type u_1} [inst : AddMonoid α] [inst_1 : Preorder α] [inst_2 : AddLeftMono α] (n : ℕ) {x : α} (hx : 0 ≤ x),
n • ⟨x, hx⟩ = ⟨n • x, ⋯⟩- Defined in
- Mathlib.Algebra.Order.Nonneg.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- AddMonoidPreorderAddLeftMono
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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_nonnegstatement · cited by 9
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