Theorems · Theorem · order theory
Finset.support_antidiagonal_subset_add
∀ {α : Type u_1} [inst : AddCommMonoid α] [inst_1 : PartialOrder α] [inst_2 : IsOrderedCancelAddMonoid α] {s t : Set α}
{hs : s.IsPWO} {ht : t.IsPWO}, {a | (Finset.antidiagonal hs ht a).Nonempty} ⊆ s + t- Defined in
- Mathlib.Data.Finset.MulAntidiagonal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- Set.ofPredstatement and proof · cited by 6,101
- Finset.Nonemptystatement and proof · cited by 1,001
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- Set.addstatement · cited by 338
- Set.IsPWOstatement and proof · cited by 99
- Finset.antidiagonalstatement and proof · cited by 23
- Finset.mem_antidiagonalproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Finset.isPWO_support_antidiagonalproof · cited by 1
- Finset.support_addAntidiagonal_subset_addproof · cited by 0