Theorems · Theorem · combinatorics
Finset.mem_finAntidiagonal
∀ {μ : Type u_2} [inst : AddCommMonoid μ] [inst_1 : Finset.HasAntidiagonal μ] [inst_2 : DecidableEq μ] {n : μ} {d : ℕ}
{f : Fin d → μ}, f ∈ Finset.finAntidiagonal d n ↔ ∑ i, f i = n- Defined in
- Mathlib.Algebra.Order.Antidiag.Pi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumstatement · cited by 5,195
- Finset.univstatement · cited by 3,473
- Subtype.propproof · cited by 505
- Finset.HasAntidiagonalstatement and proof · cited by 48
- Finset.finAntidiagonal.auxproof · cited by 1
- Finset.finAntidiagonalstatement · cited by 1
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