Theorems · Theorem · order theory
MulPosMono.mul_le_mul_of_nonneg_right
∀ {α : Type u_1} {inst : Mul α} {inst_1 : Zero α} {inst_2 : Preorder α} [self : MulPosMono α] ⦃c : α⦄,
0 ≤ c → ∀ ⦃a b : α⦄, a ≤ b → a * c ≤ b * cDo not use this. Use _root_.mul_le_mul_of_nonneg_right instead.
- Defined in
- Mathlib.Algebra.Order.GroupWithZero.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- MulPosMono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- MulPosMonostatement and proof · cited by 128
Cited by1
Results whose statement or proof uses this declaration.
- mul_le_mul_of_nonneg_rightproof · cited by 301