Theorems · Theorem · group theory
Monoid.Coprod.con_inv_mul_cancel
∀ {G : Type u_1} {H : Type u_2} [inst : Group G] [inst_1 : Group H] (x : FreeMonoid (G ⊕ H)),
(Monoid.coprodCon G H) (FreeMonoid.ofList (List.map (Sum.map Inv.inv Inv.inv) (FreeMonoid.toList x)).reverse * x) 1- Defined in
- Mathlib.GroupTheory.Coprod.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Groupstatement and proof · cited by 6,238
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- mul_assocproof · cited by 1,667
- map_mulproof · cited by 1,137
- map_oneproof · cited by 861
- Constatement · cited by 152
- FreeMonoidstatement and proof · cited by 147
- Monoid.Coprodproof · cited by 109
- FreeMonoid.ofproof · cited by 69
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.