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Theorems · Theorem · group theory

FreeAbelianGroup.lift_ext_iff

∀ {α : Type u} {β : Type v} [inst : AddCommGroup β] {g h : FreeAbelianGroup α →+ β},
  g = h ↔ ∀ (x : α), g (FreeAbelianGroup.of x) = h (FreeAbelianGroup.of x)
Defined in
Mathlib.GroupTheory.FreeAbelianGroup
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Foundations
Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommGroup
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DFunLike.coe · cited by 62936DFunLike.coeAddCommGroup · cited by 12871AddCommGroupAddMonoidHom · cited by 3230AddMonoidHomFreeAbelianGroup · cited by 82FreeAbelianGroupFreeAbelianGroup.of · cited by 40FreeAbelianGroup.ofFreeAbelianGroup.lift_ext · cited by 4FreeAbelianGroup.lift_extFreeAbelianGroup.lift_ext_iffCITED BYCITES

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