Theorems · Theorem · order theory
Finset.mulAntidiagonal_mono_left
∀ {α : Type u_1} [inst : CommMonoid α] [inst_1 : PartialOrder α] [inst_2 : IsOrderedCancelMonoid α] {s t : Set α}
{hs : s.IsPWO} {ht : t.IsPWO} {a : α} {u : Set α} {hu : u.IsPWO},
u ⊆ s → Finset.mulAntidiagonal hu ht a ⊆ Finset.mulAntidiagonal hs ht a- Defined in
- Mathlib.Data.Finset.MulAntidiagonal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Finsetstatement · cited by 13,712
- PartialOrderstatement and proof · cited by 6,410
- CommMonoidstatement and proof · cited by 2,264
- Set.IsPWOstatement and proof · cited by 99
- IsOrderedCancelMonoidstatement and proof · cited by 65
- Set.Finite.toFinset_monoproof · cited by 10
- Finset.mulAntidiagonalstatement · cited by 8
- Set.mulAntidiagonal_mono_leftproof · cited by 1
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