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Proof step 29 from proof n2s-zero (previous step)

('3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ')[m] ' = "0", m < 7 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 30:
⊦ chars ≠ [] ∧ n ≠ 0 → chars[n] = chars.rest[n - 1]
Proof step 31:
¬('3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ' ≠ [] ∧ m ≠ 0), ('3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ')[m] ' = "0", m < 7 ⊦
Proof step 34:
'3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ' ≠ [] ∧ m ≠ 0, ('3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ').rest[m - 1] ' = "0", m < 7 ⊦

Rule argument

spec: list-del inst: charlist name: get-rec seq: ⊦ chars ≠ [] ∧ n ≠ 0 → chars[n] = chars.rest[n - 1] subst: [n, chars] → [m, '3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' '] flags: rewrite

Additional information

Used terms: m, '3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' '