Theorems · Theorem · group theory
FreeMonoid.map_map
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {α₁ : Type u_6} {g : α₁ → α} {x : FreeMonoid α₁},
(FreeMonoid.map f) ((FreeMonoid.map g) x) = (FreeMonoid.map (f ∘ g)) x- Defined in
- Mathlib.Algebra.FreeMonoid.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- MonoidHomstatement · cited by 3,629
- FreeMonoidstatement and proof · cited by 147
- FreeMonoid.toListproof · cited by 33
- FreeMonoid.ofListproof · cited by 26
- FreeMonoid.mapstatement · cited by 13
Cited by2
Results whose statement or proof uses this declaration.
- FreeMonoid.map_symm_apply_map_eqproof · cited by 0
- FreeMonoid.map_apply_map_symm_eqproof · cited by 0