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Formal: generalized-coordinate jets are actual derivatives (FORM-S8) - #157
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# Conflicts: # docs/formalism-atlas.html # docs/formalism-coverage.json # docs/formalism-coverage.md
This was referenced Oct 9, 2026
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Refs #91 (FORM-S8). Not closing: fep-089/090 dispositions change only after independent review.
In
predictive_coding.lean,FiniteJethad a combinatorialshiftwith no link to derivatives. New inFEP.PredictiveCoding:functionJet order f t: coordinate k isiteratedDeriv k f tfor k ≤ order.shift_one_functionJet: below the truncation order, shifting the jet offequals the jet ofderiv f. The generalized-coordinate D operator is differentiation.shift_functionJet: the m-fold version, which gives the jet ofiteratedDeriv m f.shift_one_functionJet_top: the truncation boundary. At the top coordinate the shift gives 0, while the derivative's jet keepsiteratedDeriv (order+1) f t.exp_jet_shift_witness: forReal.exp, every retained coordinate is nonzero and the shift matchesderiv.Evidence:
IteratedDeriv.DefsandExpDeriv.lake --wfail build FepSketchespasses, and every axiom set is the standard three.--checkpasses.check_render_log --verify-receipt,check_orphan_compiles, the formal and methods tests (157) and ruff pass.