Theorems · Definition · group theory
FreeMonoid.freeMonoidCongr
{α : Type u_6} → {β : Type u_7} → α ≃ β → FreeMonoid α ≃* FreeMonoid βfree monoids over isomorphic types are isomorphic
- Defined in
- Mathlib.Algebra.FreeMonoid.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Equiv.symmproof · cited by 3,681
- MulEquivstatement · cited by 1,142
- FreeMonoidstatement and proof · cited by 147
- FreeMonoid.mapproof · cited by 13
- FreeMonoid.map_apply_map_symm_eqproof · cited by 0
- FreeMonoid.map_symm_apply_map_eqproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- Monoid.fg_iff_exists_freeGroup_hom_surjective_finiteproof · cited by 0
- FreeMonoid.freeMonoidCongr_ofstatement · cited by 0
- FreeMonoid.freeMonoidCongr_symm_ofstatement · cited by 0