Mathlib Map

Theorems · Definition · number theory

PrimeMultiset.prod

PrimeMultiset → ℕ+

The product of a PrimeMultiset, as a ℕ+.

Defined in
Mathlib.Data.PNat.Factors
Cited by
23 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

PNat.prod_factorMultiset · cited by 9PNat.prod_factorMultisetPrimeMultiset.factorMultiset_prod · cited by 7PrimeMultiset.factorMulti…PNat.factorMultiset_le_iff · cited by 5PNat.factorMultiset_le_iffPrimeMultiset.prod_dvd_iff · cited by 4PrimeMultiset.prod_dvd_iffPrimeMultiset.prod_add · cited by 3PrimeMultiset.prod_addPNat.factorMultiset_le_iff' · cited by 2PNat.factorMultiset_le_if…PrimeMultiset.coe_prod · cited by 2PrimeMultiset.coe_prodPNat.factorMultisetEquiv · cited by 1PNat.factorMultisetEquivPNat.factorMultiset_gcd · cited by 1PNat.factorMultiset_gcdPNat.factorMultiset_lcm · cited by 1PNat.factorMultiset_lcmPNat.factorMultiset_mul · cited by 1PNat.factorMultiset_mulPNat.factorMultiset_ofPrime · cited by 1PNat.factorMultiset_ofPri…PNat.factorMultiset_pow · cited by 1PNat.factorMultiset_powPrimeMultiset.prod_dvd_iff' · cited by 1PrimeMultiset.prod_dvd_if…PrimeMultiset.prod_ofNatList · cited by 1PrimeMultiset.prod_ofNatL…Multiset.prod · cited by 528Multiset.prodPNat · cited by 392PNatPrimeMultiset · cited by 30PrimeMultisetPrimeMultiset.toPNatMultiset · cited by 11PrimeMultiset.toPNatMulti…PrimeMultiset.prodCITED BYCITES

Cites4

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

Cited by24

Results whose statement or proof uses this declaration.