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Theorems · Theorem · group theory

Con.coe_multisetProd

∀ {ι : Type u_1} {M : Type u_2} [inst : CommMonoid M] (c : Con M) (s : Multiset ι) (f : ι → M),
  ↑(Multiset.map f s).prod = (Multiset.map (fun i => ↑(f i)) s).prod
Defined in
Mathlib.GroupTheory.Congruence.BigOperators
Cited by
1 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
CommMonoid
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Around this declaration

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

RingCon.coe_multisetProd · cited by 0RingCon.coe_multisetProdMultiset · cited by 2627MultisetCommMonoid · cited by 2264CommMonoidMultiset.map · cited by 876Multiset.mapMultiset.prod · cited by 528Multiset.prodMultiset.map_congr · cited by 232Multiset.map_congrCon · cited by 152ConMultiset.map_map · cited by 151Multiset.map_mapCon.Quotient · cited by 48Con.QuotientCon.toQuotient · cited by 33Con.toQuotientCon.mk' · cited by 22Con.mk'map_multiset_prod · cited by 21map_multiset_prodCon.coe_multisetProdCITED BYCITES

Cites11

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Cited by1

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