Theorems · Theorem · order theory
Finset.mulAntidiagonal_min_mul_min
∀ {α : Type u_2} [inst : CommMonoid α] [inst_1 : LinearOrder α] [inst_2 : IsOrderedCancelMonoid α] {s t : Set α}
(hs : s.IsWF) (ht : t.IsWF) (hns : s.Nonempty) (hnt : t.Nonempty),
Finset.mulAntidiagonal ⋯ ⋯ (hs.min hns * ht.min hnt) = {(hs.min hns, ht.min hnt)}- Defined in
- Mathlib.Data.Finset.MulAntidiagonal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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
- LinearOrderstatement and proof · cited by 8,572
- Set.Nonemptystatement and proof · cited by 2,627
- CommMonoidstatement and proof · cited by 2,264
- LT.lt.ne'proof · cited by 1,417
- Finset.extproof · cited by 565
- IsOrderedCancelMonoidstatement and proof · cited by 65
- Set.IsWFstatement and proof · cited by 47
- Set.IsWF.minstatement and proof · cited by 47
- LE.le.eq_of_not_ltproof · cited by 25
- Set.IsWF.min_memproof · cited by 20
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