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Mathlib/Analysis/Normed/Operator/Compact.lean
@@ -69,7 +69,7 @@ theorem isCompactOperator_zero {M₁ M₂ : Type*} [Zero M₁] [TopologicalSpace
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⟨{0}, isCompact_singleton, mem_of_superset univ_mem fun _ _ => rfl⟩
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/--
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-The identity of a topological additive group is a compact operator if it is weakly locally compact.
+The identity of a topological additive group is a compact operator implies it is weakly locally compact.
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-/
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lemma WeaklyLocallyCompactSpace.of_isCompactOperator_id
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{M₁ : Type*} [TopologicalSpace M₁] [AddCommGroup M₁] [ContinuousAdd M₁]
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