Replace split_ifs patterns with grind tactic - #58
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Use grind to simplify embedding lemmas and arithmetic proofs that previously used split_ifs with omega/rfl/simp fallbacks. Key replacements: - split_ifs <;> first | rfl | omega → grind - split_ifs <;> first | omega | (congr 1; omega) → grind - split_ifs followed by simp/congr → grind Files: PrimitiveRecursion/Halting, Minimization/Halting, Arithmetic, PartrecPrime
Use grind to simplify case analysis proofs that previously used simp_all or simp followed by omega. Files: Execution, StandardForm, Shift, Concat, Composition/Core
Mark length calculation definitions as @[simp] lemmas: - PrimitiveRecursion/Construction.lean: pr_setup_phase_length, pr_base_case_prologue_length, pr_base_case_phase_length, pr_loop_prologue_length, pr_loop_epilogue_length, pr_loop_body_length - Minimization/Construction.lean: setup_phase_length, loop_prologueLength This allows simp to automatically unfold these definitions when not using simp only, which simplifies writing new proofs that involve length calculations.
Add is_straight_line_append, is_straight_line_cons, is_straight_line_singleton, and Instr.*_is_non_jumping lemmas to StraightLine.lean. These provide reusable building blocks for proving composite programs are straight-line. Update Preservation.lean files in Minimization and PrimitiveRecursion to use the new composition lemmas, making the proof structure more explicit.
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