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Theorems · Theorem · order theory

mul_le_mul_of_nonneg_right

∀ {α : Type u_1} [inst : Mul α] [inst_1 : Zero α] [inst_2 : Preorder α] {a b c : α} [MulPosMono α],
  b ≤ c → 0 ≤ a → b * a ≤ c * a
Defined in
Mathlib.Algebra.Order.GroupWithZero.Defs
Cited by
301 results in Mathlib
Foundations
Depth 5 from the axioms, rests on 17 definitions · uses no axioms
Assumes
MulZeroPreorderMulPosMono

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