Theorems · Definition · number theory
Nat.Partition.ofSym
{n : ℕ} → {σ : Type u_1} → Sym σ n → [DecidableEq σ] → n.PartitionAn element s of Sym σ n induces a partition given by its multiplicities.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 81 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multiset.mapproof · cited by 876
- Multiset.countproof · cited by 302
- Symstatement and proof · cited by 150
- Multiset.dedupproof · cited by 59
- Nat.Partitionstatement · cited by 36
Cited by8
Results whose statement or proof uses this declaration.
- MvPolynomial.msymmproof · cited by 4
- MvPolynomial.rename_msymmproof · cited by 1
- Nat.Partition.ofSymShapeEquivstatement and proof · cited by 1
- Nat.Partition.ofSym_onestatement and proof · cited by 1
- MvPolynomial.msymm_oneproof · cited by 0
- Nat.Partition.ofSym.congr_simpstatement and proof · cited by 0
- MvPolynomial.msymm_zeroproof · cited by 0
- Nat.Partition.ofSym_mapstatement · cited by 0