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FreeAbelianGroup.lift_add

∀ {α : Type u} {G : Type u_1} [inst : AddCommGroup G] (f g : α → G),
  FreeAbelianGroup.lift (f + g) = FreeAbelianGroup.lift f + FreeAbelianGroup.lift g
Defined in
Mathlib.GroupTheory.FreeAbelianGroup
Cited by
0 results in Mathlib
Foundations
Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommGroup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FreeAbelianGroup.liftAddEquiv · cited by 3FreeAbelianGroup.liftAddE…DFunLike.coe · cited by 62936DFunLike.coeAddCommGroup · cited by 12871AddCommGroupEquiv · cited by 8337EquivAddMonoidHom · cited by 3230AddMonoidHomAddMonoidHom.ext · cited by 149AddMonoidHom.extFreeAbelianGroup · cited by 82FreeAbelianGroupFreeAbelianGroup.lift · cited by 33FreeAbelianGroup.liftFreeAbelianGroup.lift_add_apply · cited by 1FreeAbelianGroup.lift_add…FreeAbelianGroup.lift_addCITED BYCITES

Cites8

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