Theorems · Theorem · order theory

Set.MulAntidiagonal.finite_of_isPWO

∀ {α : Type u_1} [inst : CommMonoid α] [inst_1 : PartialOrder α] [IsCancelMul α] [MulLeftMono α] [MulRightStrictMono α]
  {s t : Set α}, s.IsPWO → t.IsPWO → ∀ (a : α), (s.mulAntidiagonal t a).Finite

Defined in

Mathlib.Data.Set.MulAntidiagonal

Cited by

1 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidPartialOrderIsCancelMulMulLeftMonoMulRightStrictMono