Theorems · Theorem · group theory
FreeAbelianGroup.lift_ext
∀ {α : Type u} {β : Type v} [inst : AddCommGroup β] (g h : FreeAbelianGroup α →+ β),
(∀ (x : α), g (FreeAbelianGroup.of x) = h (FreeAbelianGroup.of x)) → g = hSee note [partially-applied ext lemmas].
- Defined in
- Mathlib.GroupTheory.FreeAbelianGroup
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- AddCommGroupstatement and proof · cited by 12,871
- Equiv.symmproof · cited by 3,681
- AddMonoidHomstatement and proof · cited by 3,230
- Equiv.injectiveproof · cited by 464
- FreeAbelianGroupstatement and proof · cited by 82
- FreeAbelianGroup.ofstatement and proof · cited by 40
- FreeAbelianGroup.liftproof · cited by 33
Cited by4
Results whose statement or proof uses this declaration.
- FreeAbelianGroup.map_idproof · cited by 1
- FreeAbelianGroup.map_compproof · cited by 1
- Finsupp.toFreeAbelianGroup_comp_toFinsuppproof · cited by 1
- FreeAbelianGroup.lift_ext_iffproof · cited by 0