-- Reproduction axiom trail -- re-derived from source (TOOLCHAIN tier).
-- theorem : catenary_within_envelope
-- source  : examples/catenary.eml  ->  eml-compile --target lean   (the artifact the zoo ships; NOT a probe)
-- tool    : forge 3aa907b . machlib ffb450c8 . lean via lake
-- when    : 2026-07-10T13:47:25Z
-- verdict : CLEAN -- footprint free of sorry- and classical-citation axioms
-- (re-derive: make verify-proof)
--
MachLib/ReVerify_catenary.lean:25:5: warning: unused variable `h_scale`
note: this linter can be disabled with `set_option linter.unusedVariables false`
MachLib/ReVerify_catenary.lean:26:5: warning: unused variable `h_curv`
note: this linter can be disabled with `set_option linter.unusedVariables false`
MachLib/ReVerify_catenary.lean:27:5: warning: unused variable `h_x`
note: this linter can be disabled with `set_option linter.unusedVariables false`
'catenary_within_envelope' depends on axioms: [propext,
 Classical.choice,
 MachLib.Real,
 Quot.sound,
 MachLib.Real.cosh,
 MachLib.Real.leR,
 MachLib.Real.le_iff_lt_or_eq,
 MachLib.Real.ltR,
 MachLib.Real.lt_total,
 MachLib.Real.mulR,
 MachLib.Real.negR,
 MachLib.Real.oneR,
 MachLib.Real.realOfScientific]