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Tweaks
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vbeffara committed Mar 17, 2024
1 parent 33ebaff commit d05f38f
Showing 1 changed file with 1 addition and 1 deletion.
2 changes: 1 addition & 1 deletion RMT4.lean
Original file line number Diff line number Diff line change
Expand Up @@ -59,7 +59,7 @@ lemma IsClosed_π“œ (hU : IsOpen U) : IsClosed (π“œ U) := by

lemma IsCompact_π“œ (hU : IsOpen U) : IsCompact (π“œ U) := by
have l1 (K) (hK : K ∈ compacts U) : EquicontinuousOn ((↑) : π“œ U β†’ β„‚ β†’α΅€[compacts U] β„‚) K :=
(equicontinuous_restrict_iff _).mp <| UniformlyBounded_π“œ.equicontinuous_on hU (Β·.2.1) hK
UniformlyBounded_π“œ.equicontinuous_on hU (Β·.2.1) hK
have l2 : βˆ€ K ∈ compacts U, βˆ€ x ∈ K, βˆƒ Q, IsCompact Q ∧ βˆ€ (f : π“œ U), f.val x ∈ Q := by
intro K hK x hx
refine ⟨closedBall 0 1, isCompact_of_isClosed_isBounded isClosed_ball isBounded_closedBall, ?_⟩
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