Theorems · Theorem · combinatorics
Finset.Nat.prod_antidiagonal_eq_prod_range_succ_mk
∀ {M : Type u_3} [inst : CommMonoid M] (f : ℕ × ℕ → M) (n : ℕ),
∏ ij ∈ Finset.HasAntidiagonal.antidiagonal n, f ij = ∏ k ∈ Finset.range n.succ, f (k, n - k)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.prodstatement · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Finset.rangestatement and proof · cited by 1,341
- Finset.HasAntidiagonal.antidiagonalstatement · cited by 218
- Finset.prod_mapproof · cited by 75
Cited by2
Results whose statement or proof uses this declaration.
- Finset.Nat.prod_antidiagonal_eq_prod_range_succproof · cited by 0
- Finset.prod_antidiagonal_pow_choose_succproof · cited by 0