Theorems · Theorem · order theory

max_div_div_right

∀ {α : Type u_4} [inst : Semifield α] [inst_1 : LinearOrder α] [IsStrictOrderedRing α] {c : α},
  0 ≤ c → ∀ (a b : α), max (a / c) (b / c) = max a b / c

Defined in

Mathlib.Algebra.Order.Field.Basic

Cited by

2 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemifieldLinearOrderIsStrictOrderedRing