feat(lean4): add imaginary stack toy model (decomposed from #4070)#4708
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Pull request overview
This PR updates the research write-up for the “imaginary stack” Lean 4 toy model by removing an explanatory note about how the ℝ-norm inequality statement relates to a finite-field (ZMod p) mechanization approach.
Changes:
- Removed the “field choice (ℝ vs ZMod 17)” clarification block from the lemma handoff document.
…toy model Resolves Copilot review thread on PR #4708. The lemma statement using ‖·‖ ≤ ε·‖v‖ (lines 84-88) mixed with the finite-field convention (line 56) was ambiguous. Adds a single bridging sentence after line 56 that names both reading modes explicitly: - Finite-field reading: ‖·‖ is Hamming distance; ε = 0 (exact) - ℝ-analytic reading: ‖·‖ is Euclidean norm; ε is a small real constant The toy model targets the finite-field reading; the ℝ-analytic form is for the boundary-bulk reconstruction picture motivating the parent Lemma 1. Co-Authored-By: Claude <noreply@anthropic.com>
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Resolved Copilot field-consistency thread on lines 84-88. Pushed clarifying sentence after line 56 naming the dual reading modes:
Lemma statement unchanged; bridging sentence added so the ambient field/metric is consistent. Commit |
This was referenced May 23, 2026
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This PR contains the Lean 4 toy model for the imaginary stack, decomposed from #4070.