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Theorems · Theorem · number theory

PrimeMultiset.to_ofNatMultiset

∀ (v : Multiset ℕ) (h : ∀ p ∈ v, Nat.Prime p), (PrimeMultiset.ofNatMultiset v h).toNatMultiset = v
Defined in
Mathlib.Data.PNat.Factors
Cited by
2 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Quot.sound
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Around this declaration

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

PNat.coeNat_factorMultiset · cited by 1PNat.coeNat_factorMultisetPrimeMultiset.prod_ofNatMultiset · cited by 1PrimeMultiset.prod_ofNatM…Multiset · cited by 2627MultisetNat.Prime · cited by 2059Nat.PrimeMultiset.map_id' · cited by 35Multiset.map_id'PrimeMultiset.toNatMultiset · cited by 9PrimeMultiset.toNatMultis…Multiset.pmap_eq_map · cited by 7Multiset.pmap_eq_mapMultiset.map_pmap · cited by 7Multiset.map_pmapPrimeMultiset.ofNatMultiset · cited by 5PrimeMultiset.ofNatMultis…PrimeMultiset.to_ofNatMultisetCITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.