Theorems · Theorem · group theory
FreeMonoid.map_surjective
∀ {α : Type u_1} {β : Type u_2} {f : α → β}, Function.Surjective ⇑(FreeMonoid.map f) ↔ Function.Surjective f- Defined in
- Mathlib.Algebra.FreeMonoid.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Quot.sound
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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
- mul_oneproof · cited by 3,885
- MonoidHomstatement · cited by 3,629
- map_mulproof · cited by 1,137
- map_oneproof · cited by 861
- FreeMonoidstatement and proof · cited by 147
- FreeMonoid.ofproof · cited by 69
- FreeMonoid.mapstatement and proof · cited by 13
- FreeMonoid.lengthproof · cited by 12
- FreeMonoid.inductionOn'proof · cited by 5
- FreeMonoid.of_injectiveproof · cited by 2
- FreeMonoid.length_mulproof · cited by 1
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