lumbda/proof/lean/lean-toolchain at 4ff87920cf290ff5b03e64402ccb1bf20de41e34 - engineering/lumbda - git3.unturf.com

engineering/lumbda

russell@unturf.com b5e24e98b1 Add formal Lean 4 proof of EML universality (no sorry)

Lean's type checker verifies all 5 theorems:
  1. exp(x) = eml(x, 1)
  2. e      = eml(1, 1)
  3. ln(x)  = eml(1, eml(eml(1,x), 1))
  4. 0      = eml(1, eml(eml(1,1), 1))
  5. a - b  = eml(ln(a), exp(b))

Zero sorry. Machine-verified. This is a proof, not numerical analysis.

2026-04-13 20:23:30 -04:00

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leanprover/lean4:v4.29.0