proof: consume direct helper fuel split sufficient bridge#2172
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Summary
Consumes the #2171 sufficient-fuel split interface from the direct helper statement-context side:
DirectInternalHelperCallSufficientFuelEvidenceDirectInternalHelperAssignSufficientFuelEvidenceinternalCallWithInternalsSufficientBridge_of_directContextEvidenceinternalCallAssignWithInternalsSufficientBridge_of_directContextEvidencecompiledStmtStepWithHelpersAndHelperIRWithInternals_internalCall_of_directContextFuelSplitcompiledStmtStepWithHelpersAndHelperIRWithInternals_internalCallAssign_of_directContextFuelSplitThese theorems turn the #2170 sufficient-fuel statement-context adapters into the exact sufficient-region bridge shape required by the #2171 fuel-split singleton constructors, then combine that sufficient bridge with an explicit residual obligation to produce the direct singleton compiled-step proofs.
The residual low/insufficient-fuel branch remains explicit and is not hidden or weakened.
Validation
lean-slot lake build Compiler.Proofs.HelperStepProofspython3 scripts/check_proof_length.pypython3 scripts/generate_print_axioms.pypython3 scripts/generate_print_axioms.py --checkgit diff --checkrg -n "\\bsorry\\b|\\badmit\\b|axiom |True :=|\\t" Compiler/Proofs/HelperStepProofs.lean Compiler/Proofs/IRGeneration/GenericInduction/Calls.lean PrintAxioms.leanThe final
rgoutput only matches the standardPrintAxioms.leanaudit comments.