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Theorems · Theorem · order theory

Set.IsWF.mul

∀ {α : Type u_1} {s t : Set α} [inst : CommMonoid α] [inst_1 : LinearOrder α] [IsOrderedCancelMonoid α],
  s.IsWF → t.IsWF → (s * t).IsWF
Defined in
Mathlib.Data.Finset.MulAntidiagonal
Cited by
1 results in Mathlib
Foundations
Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidLinearOrderIsOrderedCancelMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.IsWF.min_mul · cited by 0IsWF.min_mulSet · cited by 53352SetLinearOrder · cited by 8572LinearOrderCommMonoid · cited by 2264CommMonoidSet.mul · cited by 297Set.mulIsOrderedCancelMonoid · cited by 65IsOrderedCancelMonoidSet.IsWF · cited by 47Set.IsWFSet.IsWF.isPWO · cited by 13IsWF.isPWOSet.IsPWO.isWF · cited by 9IsPWO.isWFSet.IsPWO.mul · cited by 2IsPWO.mulIsWF.mulCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.