Theorems · Theorem · group theory
FreeSemigroup.eq_one_or_toFreeMonoid
∀ {α : Type u_1} (x : FreeMonoid α), x = 1 ∨ ∃ y, FreeSemigroup.toFreeMonoid y = x- Defined in
- Mathlib.Algebra.FreeMonoid.FreeSemigroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Quot.sound
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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
- mul_oneproof · cited by 3,885
- map_mulproof · cited by 1,137
- MulHomstatement · cited by 299
- FreeMonoidstatement and proof · cited by 147
- FreeMonoid.ofproof · cited by 69
- FreeSemigroupstatement and proof · cited by 43
- FreeSemigroup.ofproof · cited by 20
- FreeSemigroup.toFreeMonoidstatement and proof · cited by 7
- FreeMonoid.inductionOn'proof · cited by 5
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