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Theorems · Definition · group theory

AddGroupExtension.inl

{N : Type u_1} →
  {E : Type u_2} →
    {G : Type u_3} →
      [inst : AddGroup N] → [inst_1 : AddGroup E] → [inst_2 : AddGroup G] → AddGroupExtension N E G → N →+ E

The inclusion homomorphism N →+ E

Defined in
Mathlib.GroupTheory.GroupExtension.Defs
Cited by
20 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.range_inl_eq_ker_rightHom · cited by 5AddGroupExtension.range_i…AddGroupExtension.IsAddConj · cited by 3AddGroupExtension.IsAddCo…AddGroupExtension.Equiv.inl_comm · cited by 1Equiv.inl_commAddGroupExtension.Section.add_add_add_neg_mem_range_inl · cited by 1Section.add_add_add_neg_m…AddGroupExtension.Section.add_neg_add_add_mem_range_inl · cited by 1Section.add_neg_add_add_m…AddGroupExtension.Section.add_neg_mem_range_inl · cited by 1Section.add_neg_mem_range…AddGroupExtension.Equiv.mk.inj · cited by 1mk.injAddGroupExtension.Equiv.mk.noConfusion · cited by 1mk.noConfusionAddGroupExtension.Section.neg_add_mem_range_inl · cited by 1Section.neg_add_mem_range…AddGroupExtension.rightHom_inl · cited by 1AddGroupExtension.rightHo…AddGroupExtension.Equiv.casesOn · cited by 0Equiv.casesOnAddGroupExtension.Equiv.map_inl · cited by 0Equiv.map_inlAddGroupExtension.Equiv.noConfusion · cited by 0Equiv.noConfusionAddGroupExtension.Equiv.noConfusionType · cited by 0Equiv.noConfusionTypeAddGroupExtension.Equiv.ofAddMonoidHom · cited by 0Equiv.ofAddMonoidHomAddGroup · cited by 4410AddGroupAddMonoidHom · cited by 3230AddMonoidHomAddGroupExtension · cited by 50AddGroupExtensionAddGroupExtension.inlCITED BYCITES

Cites3

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Cited by28

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