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import Mathlib.Topology.Algebra.Module.WeakDual import Mathlib.Algebra.Algebra.Spectrum import Mathlib.Topology.ContinuousFunction.Algebra import Mathlib.Data.Set.Lattice #align_import topology.algebra.module.character_space from "leanprover-community/mathlib"@"a148d797a1094ab554ad4183a4ad6f130358ef64" namespace ...
Mathlib/Topology/Algebra/Module/CharacterSpace.lean
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theorem union_zero_isClosed [T2Space π•œ] [ContinuousMul π•œ] : IsClosed (characterSpace π•œ A βˆͺ {0}) := by
simp only [union_zero, Set.setOf_forall] exact isClosed_iInter fun x => isClosed_iInter fun y => isClosed_eq (eval_continuous _) <| (eval_continuous _).mul (eval_continuous _)
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