Theorems · Theorem · group theory
FreeSemigroup.length_map
∀ {α : Type u} {β : Type v} (f : α → β) (x : FreeSemigroup α), ((FreeSemigroup.map f) x).length = x.length- Defined in
- Mathlib.Algebra.Free
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
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Cites9
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
- map_mulproof · cited by 1,137
- MulHomstatement · cited by 299
- FreeSemigroupstatement and proof · cited by 43
- FreeSemigroup.ofproof · cited by 20
- FreeSemigroup.mapstatement and proof · cited by 5
- FreeSemigroup.lengthstatement and proof · cited by 4
- FreeSemigroup.recOnMulproof · cited by 3
- FreeSemigroup.length_mulproof · cited by 2
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