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lean-fuel-induction - Lean 4 fuel induction and loop invariant proofs

Provides patterns for proving fuel independence, loop invariants, suffix invariance, recursive function properties, and Lean proof resource tuning.

Tags

Updated: 2026-09-28

Capabilities

Typical Inputs

Typical Outputs

What this skill does

  • Prove fuel independence
  • Prove loop invariants
  • Thread state invariants
  • Handle recursive termination
  • Prove suffix invariance
  • Unfold recursive definitions once
  • Tune proof resource limits

Inputs

  • Lean 4 proof goals
  • Recursive function definitions
  • Loop state invariants
  • Operation hypotheses
  • Suffix and append lemmas

Outputs

  • Lean proof scripts
  • Proof build status
  • Proof resource settings

Requirements

  • Lean 4 environment
  • Access to Lean source files
  • Read, Bash, and Grep tools

Source

  • Spec: SKILL.md

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Lean 4
theorem proving
fuel induction
loop invariants
well-founded recursion
monadic proofs
Prove fuel independence
Prove loop invariants
Thread state invariants
Handle recursive termination
Lean 4 proof goals
Recursive function definitions
Loop state invariants
Lean proof scripts
Proof build status
Proof resource settings