lean-mcp

Use lean-mcp to compile and verify the following Lean 4 code, identify any error locations, and suggest fixes that make it pass:
lean
import Mathlib

theorem add_zero_example (n : Nat) : n + 0 = n := by
  simp

Returns the compilation result, pass/fail status, and any needed error explanation or fix suggestions.

Use lean-mcp to inspect why this Lean 4 proof fails, explain step by step why the tactic does not work, and provide a corrected version:
lean
import Mathlib

theorem wrong_example (a b : Nat) : a + b = b + a := by
  rfl

Provides the failure reason, error context, and an alternative proof that compiles successfully.

Use lean-mcp to verify whether the following code correctly imports and uses Mathlib; if not, add the needed imports or rewrite the proof:
lean
import Mathlib

theorem list_len_nil : List.length ([] : List Nat) = 0 := by
  rfl

Explains whether the dependencies are sufficient, whether the code passes, and provides a final working version.