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Theorems · Definition · group theory

AddGroupExtension.Splitting.toAddMonoidHom

{N : Type u_1} →
  {E : Type u_2} →
    {G : Type u_3} →
      [inst : AddGroup N] →
        [inst_1 : AddGroup E] → [inst_2 : AddGroup G] → {S : AddGroupExtension N E G} → S.Splitting → G →+ E
Defined in
Mathlib.GroupTheory.GroupExtension.Defs
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
AddGroupAddGroupAddGroup
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Around this declaration

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

AddGroupExtension.Splitting.rightInverse_rightHom · cited by 1Splitting.rightInverse_ri…AddGroupExtension.Splitting.toSection · cited by 0Splitting.toSectionAddGroup · cited by 4410AddGroupAddMonoidHom · cited by 3230AddMonoidHomAddGroupExtension · cited by 50AddGroupExtensionAddGroupExtension.Splitting · cited by 11AddGroupExtension.Splitti…Splitting.toAddMonoidHomCITED BYCITES

Cites4

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Cited by2

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