Theorems · Theorem · group theory
map_list_prod
∀ {M : Type u_4} {N : Type u_5} [inst : Monoid M] [inst_1 : Monoid N] {F : Type u_8} [inst_2 : FunLike F M N]
[MonoidHomClass F M N] (f : F) (l : List M), f l.prod = (List.map (⇑f) l).prod- Cited by
- 35 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- FunLikestatement and proof · cited by 2,560
- MonoidHomClassstatement and proof · cited by 244
- List.prod_homproof · cited by 8
Cited by35
Results whose statement or proof uses this declaration.
- CoxeterSystem.lengthParity_eq_ofAdd_lengthproof · cited by 5
- Profinite.NobelingProof.Products.eval_eqproof · cited by 5
- jacobiSym.value_atproof · cited by 4
- NNReal.coe_list_prodproof · cited by 3
- spectrum.exists_mem_of_not_isUnit_aeval_prodproof · cited by 2
- Profinite.NobelingProof.list_prod_applyproof · cited by 2
- SubmonoidClass.coe_list_prodproof · cited by 2
- Finset.coe_list_prodproof · cited by 1
- Nat.cast_list_prodproof · cited by 1
- TensorAlgebra.toDirectSum_tensorPower_tprodproof · cited by 1
- Equiv.Perm.sign_prodCongrRightproof · cited by 1
- Polynomial.eval_list_prodproof · cited by 1