∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [inst_2 : ContinuousMul G],
  OpenSubgroup.instLattice =
    { toSemilatticeSup := Function.Injective.semilatticeSup OpenSubgroup.toSubgroup ⋯ ⋯ ⋯ ⋯, inf := SemilatticeInf.inf,
      inf_le_left := ⋯, inf_le_right := ⋯, le_inf := ⋯ }