Theorems · Theorem · combinatorics
Finset.nsmul_piAntidiag_univ
∀ {ι : Type u_1} [inst : DecidableEq ι] [inst_1 : Fintype ι] (m : ℕ) {n : ℕ},
n ≠ 0 → n • Finset.univ.piAntidiag m = {f ∈ Finset.univ.piAntidiag (n * m) | ∀ (i : ι), n ∣ f i}- Defined in
- Mathlib.Algebra.Order.Antidiag.Pi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement and proof · cited by 3,473
- Finset.filterstatement · cited by 949
- Finset.filter_congrproof · cited by 167
- Finset.smulFinsetstatement · cited by 101
- Finset.piAntidiagstatement and proof · cited by 19
- Finset.nsmul_piAntidiagproof · cited by 2
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