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Proof step 44 from proof n2s-zero (previous step)

m0 = m + 1, ('5' ' + '6' ' + '7' ' + '8' ' + '9' ')[m] ' = "0", m0 < 6 ⊦ m0 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: l-num-05: n < n0 ⊦ m + (* n) < (* n0) ↔ m < n0 - n; from specification nat%c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%oz: ⊦ m + 1 ≠ 0; from specification nat-basic2