Theorems · Theorem · group theory
FreeAddGroup.lift_surjective_of_surjective
∀ {α : Type u} {β : Type v} [inst : AddGroup β] {f : α → β},
Function.Surjective f → Function.Surjective ⇑(FreeAddGroup.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
- AddGroup
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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupproof · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- AddSubgroup.closureproof · cited by 156
- FreeAddGroupstatement · cited by 90
- Function.Surjective.range_eqproof · cited by 70
- AddMonoidHom.range_eq_topproof · cited by 20
- FreeAddGroup.liftstatement · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- FreeAddGroup.sum_surjectiveproof · cited by 0