Theorems · Theorem · group theory
FreeMonoid.map_symm_apply_map_eq
∀ {α : Type u_1} {β : Type u_2} {x : FreeMonoid α} (e : α ≃ β), (FreeMonoid.map ⇑e.symm) ((FreeMonoid.map ⇑e) x) = x- Defined in
- Mathlib.Algebra.FreeMonoid.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 and proof · cited by 8,337
- Equiv.symmstatement · cited by 3,681
- MonoidHomstatement · cited by 3,629
- FreeMonoidstatement and proof · cited by 147
- MonoidHom.id_applyproof · cited by 33
- Equiv.symm_comp_selfproof · cited by 28
- FreeMonoid.mapstatement and proof · cited by 13
- FreeMonoid.map_idproof · cited by 2
- FreeMonoid.map_mapproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- FreeMonoid.freeMonoidCongrproof · cited by 3