{k : Type u_1} →
  [inst : Field k] →
    {K : Type u_2} →
      [inst_1 : Field K] →
        [inst_2 : Algebra k K] →
          [IsGalois k K] →
            Quotient (MulAction.orbitRel Gal(K/k) (NumberField.InfinitePlace K)) ≃ NumberField.InfinitePlace k