soundness-proof-assistant

# Soundness Proof Assistant ## Purpose Provides expert guidance on constructing type soundness proofs for programming language type systems. ## Capabilities - Progress theorem proof templates - Preservation theorem proof templates - Substitution lemma generation - Canonical forms lemma derivation - Proof case enumeration - Mechanization guidance ## Usage Guidelines 1. **Lemma Identification**: Identify required supporting lemmas 2. **Progress Proof**: Prove progress theorem by cases 3. **Preservation Proof**: Prove preservation theorem 4. **Substitution Lemmas**: Prove substitution preserves typing 5. **Mechanization**: Translate to proof assistant ## Tools/Libraries - Coq - Agda - Lean - Twelf