Theorems · Theorem · group theory
FreeMonoid.lift_ofList
∀ {α : Type u_1} {M : Type u_4} [inst : Monoid M] (f : α → M) (l : List α),
(FreeMonoid.lift f) (FreeMonoid.ofList l) = (List.map f l).prod- Defined in
- Mathlib.Algebra.FreeMonoid.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- FreeMonoidstatement · cited by 147
- FreeMonoid.toListproof · cited by 33
- FreeMonoid.ofListstatement and proof · cited by 26
- FreeMonoid.liftstatement · cited by 20
- FreeMonoid.prodAux_eqproof · cited by 2
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