Convert EDN Proofs to Lean

Convert EDN mathematical proof to Lean 4 formalization

Formalizing proofs from symbolic logic systems into Lean when step-by-step mapping of justifications to tactics is needed.

• · Path to EDN proof file with :theorem, :symbols, :assumptions, :steps, :qed

• · Lean 4 file at lean/AlethfeldLean/path.lean
• · Type signatures, imports, proof skeleton with sorry placeholders
• · Comments linking steps to EDN proof IDs

• · Lean 4
• · Mathlib (for type definitions and tactics)
• · lake (Lean build tool)

• · Lean 4 and lake installed
• · Mathlib available
• · EDN file is well-formed (valid :theorem, :symbols)
• · Types in EDN map to Lean equivalents (ℝ->Real, ℕ->Nat)

• · EDN type unmapped to Lean = type errors at lake build
• · Proof step justification not recognized = tactic mismatch (e.g., :definition-expansion != unfold)
• · lake build fails = missing imports or type signature errors
• · sorry placeholders not filled = proof incomplete

• · Includes EDN->Lean type mapping table (ℝ, ℕ, operators)
• · Maps proof justifications to specific tactics (:modus-ponens -> apply)
• · Verification step via lake build prevents broken scaffolds