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Theorems · Theorem · order theory

div_nonpos_of_nonneg_of_nonpos

∀ {G₀ : Type u_3} [inst : GroupWithZero G₀] [inst_1 : LinearOrder G₀] {a b : G₀} [PosMulMono G₀],
  0 ≤ a → b ≤ 0 → a / b ≤ 0
Defined in
Mathlib.Algebra.Order.GroupWithZero.Basic
Cited by
6 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupWithZeroLinearOrderPosMulMono

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