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Prove unsigned measurability of sequential limsup and liminf - #728

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Chessing234:codex/analysis-limsup-liminf
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Chessing234:codex/analysis-limsup-liminf

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Complete the limsup and liminf cases of Exercise 1.3.3(iii). Express each sequential limit as alternating countable infima and suprema of tails, then apply the existing measurability closure lemmas. Both dual cases are included.

Validation: lake build Analysis.MeasureTheory.Section_1_3_2 passes on this branch. Statements are unchanged, and no new proof placeholders or axioms are introduced. The repository still contains pre-existing admitted lemmas.

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