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Theorems · Definition · number theory

Nat.Partition.parts

{n : ℕ} → n.Partition → Multiset ℕ

positive integers summing to n

Defined in
Mathlib.Combinatorics.Enumerative.Partition.Basic
Cited by
28 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Nat.Partition.countRestricted · cited by 6Partition.countRestrictedNat.Partition.partition_zero_parts · cited by 6Partition.partition_zero_…Nat.Partition.genFun · cited by 5Partition.genFunNat.Partition.parts_sum · cited by 5Partition.parts_sumNat.Partition.restricted · cited by 5Partition.restrictedNat.Partition.hasProd_genFun · cited by 4Partition.hasProd_genFunNat.Partition.ext · cited by 3Partition.extNat.Partition.indiscrete_parts · cited by 3Partition.indiscrete_partsNat.Partition.partitionWithPartEquiv · cited by 3Partition.partitionWithPa…Nat.Partition.toFinsuppAntidiag · cited by 3Partition.toFinsuppAntidi…MvPolynomial.psumPart · cited by 2MvPolynomial.psumPartMvPolynomial.hsymmPart · cited by 2MvPolynomial.hsymmPartEquiv.Perm.parts_partition · cited by 2Perm.parts_partitionNat.Partition.distincts · cited by 2Partition.distinctsNat.Partition.ext_iff · cited by 2Partition.ext_iffMultiset · cited by 2627MultisetNat.Partition · cited by 36Nat.PartitionPartition.partsCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by37

Results whose statement or proof uses this declaration.