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Editor rules updated (.cursorrules, .clinerules, copilot-instructions, .roo): - Build: 3571 jobs, 0 errors - Sorry inventory: 8 across 4 files (all documented) - Q16_16 compliance, new modules list, FPGA info - Fixed stale path in copilot-instructions Opencode agents: - 3 marked RESOLVED (pist-simulation, qfactor, ssms) - 2 new agents created (adjugate-matrix, hamiltonian-mechanics) - 1 updated (hyperbolic-statesurface) SORRY_AUDIT.md: updated to 8 sorries across 4 files
36 lines
1.4 KiB
Markdown
36 lines
1.4 KiB
Markdown
---
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description: Fix the Picard-Lindelöf existence sorry in HamiltonianMechanics.lean (legacy). Use ONLY when asked to fix HamiltonianMechanics sorry or formalize ODE existence.
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mode: subagent
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model: anthropic/claude-sonnet-4-6
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permission:
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edit: allow
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bash: allow
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read: allow
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---
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# Fix HamiltonianMechanics.lean sorry
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## Context
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`Semantics/legacy/6point5sigma/HamiltonianMechanics.lean:391` has:
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```lean
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have hex : ∃ γ, IsSolutionND f x₀ γ := sorry
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```
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This is the Picard-Lindelöf existence theorem for ODEs. The uniqueness half (`picard_lindelof_uniqueness`) is already proven. The existence half requires:
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1. Formalizing `C([-T,T])` as a complete metric space
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2. The weighted-norm contraction estimate
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3. The local-to-global extension argument
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4. The linear growth bound `‖f(x)‖ ≤ ‖f(x₀)‖ + K‖x - x₀‖` prevents blowup
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**Note:** This file is in `legacy/6point5sigma/` and is not part of the active Compiler surface. It does not block `lake build Compiler` or `lake build`. Priority is low.
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## Steps
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1. Read `Semantics/legacy/6point5sigma/HamiltonianMechanics.lean` around lines 380-395
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2. Read the `IsSolutionND` definition and `picard_lindelof_uniqueness` theorem
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3. Determine if Mathlib has a Picard-Lindelöf existence theorem that can be used
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4. If not, formalize the contraction mapping argument on `C([-T,T])`
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5. Build: `lake build Semantics.legacy.6point5sigma.HamiltonianMechanics` (if in lakefile)
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