Multiset.prod

{M : Type u_3} → [CommMonoid M] → Multiset M → M

Product of a multiset given a commutative monoid structure on M. prod {a, b, c} = a * b * c

Defined in: Mathlib.Algebra.BigOperators.Group.Multiset.Defs
Cited by: 528 results in Mathlib
Foundations: Depth 11 from the axioms, rests on 67 definitions · uses propext
Assumes: CommMonoid

Around this declaration

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

Results whose statement or proof uses this declaration.

Finset.prodproof · cited by 2,356
Finset.prod_constproof · cited by 154
map_prodproof · cited by 108
Finset.prod_const_oneproof · cited by 100
Finset.prod_mapproof · cited by 75
Multiset.prod_consstatement · cited by 68
Height.mulHeightproof · cited by 64
Multiset.prod_replicatestatement · cited by 40
Height.mulHeight₁proof · cited by 35
Multiset.prod_singletonstatement · cited by 29
PrimeMultiset.prodproof · cited by 23
UniqueFactorizationMonoid.prod_normalizedFactorsstatement and proof · cited by 23

Showing the 200 most cited of 553.