Theorems · Theorem · combinatorics
Finset.Nat.prod_antidiagonal_swap
∀ {M : Type u_1} [inst : CommMonoid M] {n : ℕ} {f : ℕ × ℕ → M},
∏ p ∈ Finset.HasAntidiagonal.antidiagonal n, f p.swap = ∏ p ∈ Finset.HasAntidiagonal.antidiagonal n, f p- Cited by
- 1 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetproof · cited by 13,712
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Finset.HasAntidiagonal.antidiagonalstatement and proof · cited by 218
- Finset.prod_mapproof · cited by 75
- Prod.swap_injectiveproof · cited by 12
- Finset.HasAntidiagonal.map_swap_antidiagonalproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Finset.Nat.prod_antidiagonal_succ'proof · cited by 1