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def definition def or abbrev

log10Interval

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 358def log10Interval : Interval where
 359  lo := 230 / 100

proof body

Definition body.

 360  hi := 231 / 100
 361  valid := by norm_num
 362
 363/-- log(10) is contained in log10Interval.
 364    Proof using log(10) = log(2) + log(5) and Mathlib bounds.
 365    log(2) ≈ 0.693, log(5) = log(10/2) requires log(10).
 366    Instead: log(10) = 2*log(√10), but √10 computation is circular.
 367    Best approach: log(10) = log(2) + log(5) where log(5) = log(4*5/4) = 2*log(2) + log(1.25)
 368    So log(10) = 3*log(2) + log(1.25) -/

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