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LeanMlir.Proofs.Certificates.SmoothingDecChunk3

Decimal-radius scorecard, scan chunk 3/6 (panels 1100…1650) #

GENERATED by scripts/smooth_dec_scorecard_gen.py — see SmoothingDecScorecard.lean for the corpus story. Each chunk lives in its own module because (a) one whole-grid kernel evaluation retains ~15 GB of kernel-cache bignums (OOM on 16 GB CI runners) and (b) memory is NOT reclaimed between declarations within one lean process — per-module processes cap the worst chunk at ~5 GB.

Grid values 1650…1100 (descending) as NUMERATORS over the common denominator 10¹² (every grid value is 1/2 + Σ (1/1000)·(k/10⁹)). ℕ literals elaborate in ~1 s where flat division literals price out in pending-mvar instance synthesis (>10 min). Untrusted input — verified by the kernel checks below.

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      theorem Proofs.phiCp1100 :
      phiGridUB (1 / 1000) 1100 = 864424475536 / 1000000000000

      Checkpoint: the grid value at panel 1100, read off the verified scan.

      theorem Proofs.phiChunkEq3 :
      phiScanRevFrom (1 / 1000) 1100 (864424475536 / 1000000000000) 550 = phiChunkLit3

      Chunk 3: panels 1100…1650, kernel-evaluated FROM the checkpoint.

      Panels 0…1650: chunk 3 glued onto the verified prefix.