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refactor(MultiTapeTM): define runFrom as the end of a run path - #54

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barni120400 wants to merge 1 commit into
feat/tm-space-gapfrom
refactor/multitape-runfrom-path
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barni120400 wants to merge 1 commit into
feat/tm-space-gapfrom
refactor/multitape-runfrom-path

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This PR defines runFrom cfg t as the last configuration of the run path of t steps from cfg, and adds runFrom_zero, runFrom_succ, runFrom_succ' and runFrom_add. The plumbing proofs that unfolded runFrom into iterates now use these lemmas, and the unused runPath_apply_eq_runFrom and inputPos_runFrom_le are removed.

Depends on #13.

I used Claude Code to help write the Lean code and this description.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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Replaced by #56, which is based directly on main.

@barni120400 barni120400 closed this Nov 1, 2026
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