Theorems · Theorem · order theory

mabs_div_sup_mul_mabs_div_inf

∀ {α : Type u_1} [inst : Lattice α] [inst_1 : CommGroup α] [MulLeftMono α] (a b c : α),
  |(a ⊔ c) / (b ⊔ c)|ₘ * |(a ⊓ c) / (b ⊓ c)|ₘ = |a / b|ₘ

Defined in

Mathlib.Algebra.Order.Group.Unbundled.Abs

Cited by

2 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LatticeCommGroupMulLeftMono