Theorems · Theorem · group theory
Multiset.prod_coe
∀ {M : Type u_3} [inst : CommMonoid M] (l : List M), (↑l).prod = l.prod- Cited by
- 12 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidstatement and proof · cited by 2,264
- Multiset.prodstatement · cited by 528
- Multiset.ofListstatement · cited by 290
Cited by12
Results whose statement or proof uses this declaration.
- Multiset.prod_eq_zero_iffproof · cited by 7
- Finset.prod_map_toListproof · cited by 5
- Nat.factors_eqproof · cited by 5
- Multiset.prod_toListproof · cited by 3
- AddMonoidAlgebra.sup_support_coeff_multisetProd_leproof · cited by 3
- Submonoid.exists_multiset_of_mem_closureproof · cited by 2
- Multiset.prod_eraseproof · cited by 2
- Multiset.prod_map_eraseproof · cited by 1
- CanonicallyOrderedAdd.multiset_prod_posproof · cited by 1
- PrimeMultiset.prod_ofNatListproof · cited by 1
- PrimeMultiset.prod_ofPNatListproof · cited by 0
- Multiset.prod_map_toListproof · cited by 0