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Theorems · Theorem · number theory

Nat.Partition.partition_zero_parts

∀ (p : Nat.Partition 0), p.parts = 0
Defined in
Mathlib.Combinatorics.Enumerative.Partition.Basic
Cited by
6 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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Nat.bell_eq_sum_partition · cited by 0Nat.bell_eq_sum_partitionMvPolynomial.esymmPart_indiscrete · cited by 0MvPolynomial.esymmPart_in…MvPolynomial.esymmPart_zero · cited by 0MvPolynomial.esymmPart_ze…MvPolynomial.hsymmPart_indiscrete · cited by 0MvPolynomial.hsymmPart_in…MvPolynomial.hsymmPart_zero · cited by 0MvPolynomial.hsymmPart_ze…MvPolynomial.psumPart_zero · cited by 0MvPolynomial.psumPart_zeroMultiset · cited by 2627MultisetLT.lt.ne' · cited by 1417lt.ne'Nat.Partition · cited by 36Nat.PartitionNat.Partition.parts · cited by 28Partition.partsMultiset.eq_zero_of_forall_notMem · cited by 13Multiset.eq_zero_of_foral…Nat.Partition.parts_sum · cited by 5Partition.parts_sumNat.Partition.parts_pos · cited by 2Partition.parts_posMultiset.sum_eq_zero_iff · cited by 2Multiset.sum_eq_zero_iffPartition.partition_zero_partsCITED BYCITES

Cites8

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Cited by6

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