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Update ActionTopology.lean
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FLT/ForMathlib/ActionTopology.lean

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@@ -502,15 +502,15 @@ variable [TopologicalSpace D] [IsActionTopology R D]
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open scoped TensorProduct
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@[continuity, fun_prop]
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lemma continuous_mul : Continuous (fun ab ↦ ab.1 * ab.2 : D × D → D) := by
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letI : TopologicalSpace (D ⊗[R] D) := actionTopology R _
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haveI : IsActionTopology R (D ⊗[R] D) := { isActionTopology' := rfl }
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convert Module.continuous_bilinear_of_finite <| LinearMap.mul R D
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def Module.topologicalRing : TopologicalRing D where
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continuous_add := (isActionTopology_continuousAdd R D).1
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continuous_mul := continuous_mul R D
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continuous_neg := continuous_neg R D
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-- @[continuity, fun_prop]
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-- lemma continuous_mul : Continuous (fun ab ↦ ab.1 * ab.2 : D × D → D) := by
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-- letI : TopologicalSpace (D ⊗[R] D) := actionTopology R _
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-- haveI : IsActionTopology R (D ⊗[R] D) := { isActionTopology' := rfl }
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-- convert Module.continuous_bilinear_of_finite <| LinearMap.mul R D
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-- def Module.topologicalRing : TopologicalRing D where
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-- continuous_add := (isActionTopology_continuousAdd R D).1
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-- continuous_mul := continuous_mul' R D
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-- continuous_neg := continuous_neg R D
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end ring_algebra

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