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Theorems · Definition · group theory

AddGroupExtension.Equiv.refl

{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.Equiv S

An additive group extension is equivalent to itself.

Defined in
Mathlib.GroupTheory.GroupExtension.Defs
Cited by
2 results in Mathlib
Foundations
Depth 18 from the axioms · uses Quot.sound
Assumes
AddGroupAddGroupAddGroup
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Around this declaration

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

AddGroupExtension.Equiv.refl_apply · cited by 0Equiv.refl_applyAddGroupExtension.Equiv.refl_symm_apply · cited by 0Equiv.refl_symm_applyAddGroup · cited by 4410AddGroupAddEquiv · cited by 1087AddEquivAddGroupExtension · cited by 50AddGroupExtensionAddEquiv.refl · cited by 34AddEquiv.reflAddGroupExtension.Equiv · cited by 16AddGroupExtension.EquivEquiv.reflCITED BYCITES

Cites5

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Cited by2

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