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Model: EPFL-LARA/lean-world-model-qwen3-4b-grpo
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Here is the complete Lean 4 proof annotated with Lean 4 compiler feedback blocks:
```lean4
import Mathlib
-- Theorem: For any natural number n, n + 0 = n.
theorem demo (n : ℕ) : n + 0 = n := by
/- <feedback>
-- proof state:
n : ℕ
⊢ n + 0 = n
</feedback> -/
induction n with
/- <feedback>
-- proof state:
case zero
⊢ 0 + 0 = 0
</feedback> -/
| zero => rfl
/- <feedback>
-- proof state:
ih : n + 0 = n
case succ
⊢ n + 1 + 0 = n + 1
</feedback> -/
| succ n ih => simp_all
```