Theorems · Theorem · order theory
Finset.swap_mem_addAntidiagonal
Deprecated since 2026-06-08Use Finset.swap_mem_antidiagonal instead.
∀ {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 : α} {x : α × α},
x.swap ∈ Finset.antidiagonal hs ht a ↔ x ∈ Finset.antidiagonal ht hs aAlias of Finset.swap_mem_antidiagonal.
- Defined in
- Mathlib.Data.Finset.MulAntidiagonal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Finsetstatement · cited by 13,712
- AddCommMonoidstatement · cited by 12,281
- PartialOrderstatement · cited by 6,410
- IsOrderedCancelAddMonoidstatement · cited by 359
- Set.IsPWOstatement · cited by 99
- Finset.antidiagonalstatement · cited by 23
- Finset.swap_mem_antidiagonalproof · cited by 1
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