Theorems · Theorem · combinatorics
Finset.sum_antidiagonal_choose_add
∀ (d n : ℕ), ∑ ij ∈ Finset.HasAntidiagonal.antidiagonal n, (d + ij.2).choose d = (d + n + 1).choose (d + 1)
- Defined in
- Mathlib.Data.Nat.Choose.Sum
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.sumstatement and proof · cited by 5,195
- add_zeroproof · cited by 2,707
- Finset.sum_congrproof · cited by 2,323
- add_assocproof · cited by 746
- Nat.choosestatement and proof · cited by 494
- Finset.sum_singletonproof · cited by 251
- Finset.HasAntidiagonal.antidiagonalstatement and proof · cited by 218
- Nat.choose_selfproof · cited by 54
- Nat.choose_succ_succproof · cited by 10
- Finset.HasAntidiagonal.antidiagonal_zeroproof · cited by 8
- Finset.Nat.sum_antidiagonal_succproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.mk_one_pow_eq_mk_choose_addproof · cited by 0