no goals
𝕜 : Type u_2
inst✝² : NontriviallyNormedField 𝕜
E : Type u_1
inst✝¹ : SeminormedAddCommGroup E
inst✝ : NormedSpace 𝕜 E
s : Set E
⊢ IsClosed
    ((LinearMap.polar (LinearMap.flip (LinearMap.flip (dualPairing 𝕜 E))) ∘ ↑OrderDual.ofDual)
      (LinearMap.polar (LinearMap.flip (dualPairing 𝕜 E)) s))
simpa [LinearMap.flip_flip] using
  (isClosed_polar _ _).preimage (inclusionInDoubleDual 𝕜 E).continuous