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Proof step 53 from proof n2s-zero (previous step)

('6' ' + '7' ' + '8' ' + '9' ')[m0] ' = "0", m0 < 4 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 54:
⊦ chars ≠ [] ∧ n ≠ 0 → chars[n] = chars.rest[n - 1]
Proof step 55:
¬('6' ' + '7' ' + '8' ' + '9' ' ≠ [] ∧ m0 ≠ 0), ('6' ' + '7' ' + '8' ' + '9' ')[m0] ' = "0", m0 < 4 ⊦
Proof step 58:
'6' ' + '7' ' + '8' ' + '9' ' ≠ [] ∧ m0 ≠ 0, ('6' ' + '7' ' + '8' ' + '9' ').rest[m0 - 1] ' = "0", m0 < 4 ⊦

Rule argument

spec: list-del inst: charlist name: get-rec seq: ⊦ chars ≠ [] ∧ n ≠ 0 → chars[n] = chars.rest[n - 1] subst: [n, chars] → [m0, '6' ' + '7' ' + '8' ' + '9' '] flags: rewrite

Additional information

Used terms: m0, '6' ' + '7' ' + '8' ' + '9' '