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Proof step 8 from proof sum-zero-fin (previous step)

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

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 2 terms: n∞ + ⌜1⌝

Additional information

Used simplifier rules: add-assoc: ⊦ (n∞ + n∞1) + n∞2 = n∞ + n∞1 + n∞2;%add-comm: ⊦ n∞1 + n∞2 = n∞2 + n∞1; Used terms: n∞ + ⌜1⌝