∀ (A : GrpCat) (x x_1 : ↑((GrpTypeEquivalenceGrp.inverse.comp GrpTypeEquivalenceGrp.functor).obj A)),
  (Equiv.refl ↑((GrpTypeEquivalenceGrp.inverse.comp GrpTypeEquivalenceGrp.functor).obj A)).toFun (x * x_1) =
    (Equiv.refl ↑((GrpTypeEquivalenceGrp.inverse.comp GrpTypeEquivalenceGrp.functor).obj A)).toFun (x * x_1)