Theorems · Theorem · combinatorics
Finset.map_nsmul_piAntidiag
∀ {ι : Type u_1} [inst : DecidableEq ι] (s : Finset ι) (m : ℕ) {n : ℕ} (hn : n ≠ 0),
Finset.map { toFun := fun x => n • x, inj' := ⋯ } (s.piAntidiag m) = {f ∈ s.piAntidiag (n * m) | ∀ i ∈ s, n ∣ f i}- Defined in
- Mathlib.Algebra.Order.Antidiag.Pi
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.filterstatement and proof · cited by 949
- Finset.mapstatement · cited by 747
- Finset.map_eq_imageproof · cited by 50
- Finset.piAntidiagstatement and proof · cited by 19
- nsmul_right_injectivestatement and proof · cited by 8
- Finset.nsmul_piAntidiagproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Finset.map_nsmul_piAntidiag_univproof · cited by 0