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Proof step 5 from proof sum-zero-fin (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: num-add: ⊦ ⌜(* n)⌝ + ⌜(* m)⌝ = ⌜n + m⌝ ;%add-assoc: ⊦ (n∞ + n∞1) + n∞2 = n∞ + n∞1 + n∞2;%add-comm: ⊦ n∞1 + n∞2 = n∞2 + n∞1;%add-all-zero: ⊦ n∞ + ⌜0⌝ = n∞;%c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2