Theorems · Theorem · order theory

m_Birkhoff_inequalities

∀ {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

0 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LatticeCommGroupMulLeftMono