pith. machine review for the scientific record. sign in

Explain the Lean def `log10Interval` in module `IndisputableMonolith.Numerics.Interval.Log`. Write for an educated reader who knows science and programming but may not know Lean. Cover: (1) what the declaration says in plain English, (2) why it matters in Recognition Science, (3) how to read the formal statement, (4) visible dependencies or certificates in the supplied source, and (5) what this declaration does not prove. Cite only declarations present in the supplied Recognition source.

permalink: https://pith.science/recognition/ask/explain-the-lean-def-log10interval-in-module-indisputablemon-32dada56 · first asked 2026-05-10 · browse all asks

Big AI job. Grok 4.3 reads the canon and writes a Lean-grounded derivation; usually 20 seconds to 2 minutes. The page will refresh to your answer when it’s ready.
confidence: high outside recognition cached

The requested definition log10Interval cannot be explained because it is not present in the supplied source. The module IndisputableMonolith.Numerics.Interval.Log is truncated immediately after the definition and partial proof of log_2_in_interval, meaning any subsequent declarations, including log10Interval, are unavailable in this slice of the canon.

outside recognition

Aspects Recognition does not yet address:

  • The definition `log10Interval` is missing because the supplied Lean module `IndisputableMonolith.Numerics.Interval.Log` is truncated.

recognition modules consulted

The Recognition library is at github.com/jonwashburn/shape-of-logic. The model is restricted to the supplied Lean source and instructed not to invent theorem names. Treat output as a starting point, not a verified proof.