Documentation

LeanMlir.Proofs.Certificates.SmoothingDecChunk2

Decimal-radius scorecard, scan chunk 2/6 (panels 550…1100) #

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 1100…550 (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.phiCp550 :
      phiGridUB (1 / 1000) 550 = 708868303207 / 1000000000000

      Checkpoint: the grid value at panel 550, read off the verified scan.

      theorem Proofs.phiChunkEq2 :
      phiScanRevFrom (1 / 1000) 550 (708868303207 / 1000000000000) 550 = phiChunkLit2

      Chunk 2: panels 550…1100, kernel-evaluated FROM the checkpoint.

      Panels 0…1100: chunk 2 glued onto the verified prefix.