Theorems · Theorem · combinatorics
Finset.HasMulAntidiagonal.mulAntidiagonal.fst_le
∀ {A : Type u_1} [inst : CommMonoid A] [inst_1 : PartialOrder A] [CanonicallyOrderedMul A]
[inst_3 : Finset.HasMulAntidiagonal A] {n : A} {kl : A × A},
kl ∈ Finset.HasMulAntidiagonal.mulAntidiagonal n → kl.1 ≤ n- Defined in
- Mathlib.Algebra.Order.Antidiag.Prod
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- PartialOrderstatement and proof · cited by 6,410
- CommMonoidstatement and proof · cited by 2,264
- CanonicallyOrderedMulstatement and proof · cited by 51
- Finset.HasMulAntidiagonal.mulAntidiagonalstatement and proof · cited by 17
- Finset.HasMulAntidiagonalstatement and proof · cited by 16
- le_iff_exists_mulproof · cited by 4
- Finset.HasMulAntidiagonal.mem_mulAntidiagonalproof · cited by 3
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