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Proof step 7 from proof sum-zero-fin (previous step)

(⌜n0⌝ + ⌜1⌝ ) + n∞ = ⌜0⌝ , ∀ n∞. ⌜n0⌝ + n∞ = ⌜0⌝ → n∞ = ⌜0⌝ ∧ n0 = 0 ⊦ n0 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information