Theorems · Theorem · group theory
FreeMonoid.equivWithOneFreeSemigroup_symm_apply
∀ {α : Type u_1} (a : WithOne (FreeSemigroup α)),
FreeMonoid.equivWithOneFreeSemigroup.symm a = (WithOne.lift FreeSemigroup.toFreeMonoid) a- Defined in
- Mathlib.Algebra.FreeMonoid.FreeSemigroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Quot.sound
Around this declaration
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Cites12
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
- MonoidHomstatement · cited by 3,629
- MulEquivstatement · cited by 1,142
- MulEquiv.symmstatement and proof · cited by 482
- MulHomstatement · cited by 299
- FreeMonoidstatement · cited by 147
- WithOnestatement and proof · cited by 49
- FreeSemigroupstatement and proof · cited by 43
- FreeSemigroup.toFreeMonoidstatement · cited by 7
- WithOne.liftstatement · cited by 6
- FreeMonoid.equivWithOneFreeSemigroupstatement and proof · cited by 2
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