Theorems · Theorem · combinatorics
Finsupp.antidiagonal_single
∀ {α : Type u} [inst : DecidableEq α] (a : α) (n : ℕ),
(Finset.HasAntidiagonal.antidiagonal fun₀ | a => n) =
Finset.map ({ toFun := Finsupp.single a, inj' := ⋯ }.prodMap { toFun := Finsupp.single a, inj' := ⋯ })
(Finset.HasAntidiagonal.antidiagonal n)- Defined in
- Mathlib.Data.Finsupp.Antidiagonal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement · cited by 13,712
- Finsuppstatement and proof · cited by 5,255
- Finsupp.singlestatement and proof · cited by 943
- Finset.mapstatement · cited by 747
- Finset.extproof · cited by 565
- DFunLike.congr_funproof · cited by 288
- Finset.HasAntidiagonal.antidiagonalstatement · cited by 218
- Finsupp.single_eq_sameproof · cited by 171
- Finsupp.single_applyproof · cited by 99
- Decidable.eq_or_neproof · cited by 28
- Finsupp.single_addproof · cited by 23
Cited by2
Results whose statement or proof uses this declaration.
- PowerSeries.coeff_mulproof · cited by 29
- PowerSeries.coeff_inv_auxproof · cited by 2