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Theorems · Definition · group theory

FunLike.invOneClass

{F : Type u_1} →
  {α : Type u_2} →
    {β : Type u_3} →
      [inst : FunLike F α β] →
        [inst_1 : One F] →
          [inst_2 : Inv F] → [inst_3 : InvOneClass β] → [IsOneApply F α β] → [IsInvApply F α β] → InvOneClass F

A FunLike type with 1 and inverse is an InvOneClass if β is an InvOneClass.

Defined in
Mathlib.Data.FunLike.Group
Cited by
0 results in Mathlib
Foundations
Depth 9 from the axioms · uses propext, Quot.sound
Assumes
FunLikeOneInvInvOneClassIsOneApplyIsInvApply
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Around this declaration

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DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeIsOneApply · cited by 12IsOneApplyInvOneClass · cited by 5InvOneClassIsInvApply · cited by 3IsInvApplyFunction.Injective.invOneClass · cited by 0Injective.invOneClassFunLike.invOneClassCITED BYCITES

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