Theorems · Theorem · group theory
FreeGroup.lift_surjective_of_surjective
∀ {α : Type u} {β : Type v} [inst : Group β] {f : α → β},
Function.Surjective f → Function.Surjective ⇑(FreeGroup.lift f)- Defined in
- Mathlib.GroupTheory.FreeGroup.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setproof · cited by 53,352
- Top.topproof · cited by 9,680
- Equivstatement · cited by 8,337
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupproof · cited by 3,593
- Subgroup.closureproof · cited by 196
- FreeGroupstatement · cited by 132
- Function.Surjective.range_eqproof · cited by 70
- FreeGroup.liftstatement · cited by 32
- MonoidHom.range_eq_topproof · cited by 29
Cited by1
Results whose statement or proof uses this declaration.
- FreeGroup.prod_surjectiveproof · cited by 0