Theorems · Definition · group theory
FreeMonoid.of
{α : Type u_1} → α → FreeMonoid αEmbeds an element of α into FreeMonoid α as a singleton list.
- Defined in
- Mathlib.Algebra.FreeMonoid.Basic
- Cited by
- 69 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- FreeMonoidstatement · cited by 147
- FreeMonoid.ofListproof · cited by 26
Cited by83
Results whose statement or proof uses this declaration.
- Monoid.Coprod.inlproof · cited by 48
- Monoid.Coprod.inrproof · cited by 47
- Monoid.CoprodI.ofproof · cited by 45
- FreeMonoid.liftproof · cited by 20
- FreeRing.ofproof · cited by 13
- FreeSemigroup.toFreeMonoidproof · cited by 7
- FreeMonoid.hom_eqstatement and proof · cited by 7
- FreeMonoid.recOnstatement and proof · cited by 7
- Traversable.toList_specstatement and proof · cited by 6
- FreeMonoid.inductionOn'statement and proof · cited by 5
- Monoid.Coprod.cliftstatement and proof · cited by 5
- PresentedMonoid.ofproof · cited by 5