Theorems · Theorem · combinatorics
Finset.HasAntidiagonal.map_swap_antidiagonal
∀ {A : Type u_1} [inst : AddCommMonoid A] [inst_1 : Finset.HasAntidiagonal A] {n : A},
Finset.map { toFun := Prod.swap, inj' := ⋯ } (Finset.HasAntidiagonal.antidiagonal n) =
Finset.HasAntidiagonal.antidiagonal n- Defined in
- Mathlib.Algebra.Order.Antidiag.Prod
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.mapstatement · cited by 747
- Finset.HasAntidiagonal.antidiagonalstatement · cited by 218
- Finset.HasAntidiagonalstatement and proof · cited by 48
- Prod.swap_injectivestatement · cited by 12
- Finset.HasAntidiagonal.map_prodComm_antidiagonalproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- Finset.Nat.antidiagonal_eq_map'proof · cited by 1
- Finset.Nat.prod_antidiagonal_swapproof · cited by 1
- Finset.HasAntidiagonal.filter_snd_eq_antidiagonalproof · cited by 1
- Finset.Nat.sum_antidiagonal_swapproof · cited by 0