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Proof step 25 from proof natstring-chars (previous step)

'2' ' + '3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ' ≠ [] ∧ m ≠ 0, m < 8, ∀ m1, char. m1 < (m + 1) + 1 → char ∈ n→s(m1) → char = '0' ∨ char = '9' ∨ char = '8' ∨ char = '7' ∨ char = '6' ∨ char = '5' ∨ char = '4' ∨ char = '3' ∨ char = '2' ∨ char = '1' ⊦ ('2' ' + '3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ').rest[m - 1] = '0', ('2' ' + '3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ').rest[m - 1] = '9', ('2' ' + '3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ').rest[m - 1] = '8', ('2' ' + '3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ').rest[m - 1] = '7', ('2' ' + '3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ').rest[m - 1] = '6', ('2' ' + '3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ').rest[m - 1] = '5', ('2' ' + '3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ').rest[m - 1] = '4', ('2' ' + '3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ').rest[m - 1] = '3', ('2' ' + '3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ').rest[m - 1] = '2', ('2' ' + '3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ').rest[m - 1] = '1'

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 26:
m < 8, ∀ m1, char. m1 < (m + 1) + 1 → char ∈ n→s(m1) → char = '0' ∨ char = '9' ∨ char = '8' ∨ char = '7' ∨ char = '6' ∨ char = '5' ∨ char = '4' ∨ char = '3' ∨ char = '2' ∨ char = '1' ⊦ m = 0, ('3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ')[m - 1] = '0', ('3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ')[m - 1] = '9', ('3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ')[m - 1] = '8', ('3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ')[m - 1] = '7', ('3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ')[m - 1] = '6', ('3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ')[m - 1] = '5', ('3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ')[m - 1] = '4', ('3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ')[m - 1] = '3', ('3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ')[m - 1] = '2', ('3' ' + '4' ' + '5' ' + '6' ' + '7' ' + '8' ' + '9' ')[m - 1] = '1'

Rule argument

Additional information

Used simplifier rules: ⊦ char ' + chars ≠ [];% ⊦ (chars + chars0) + chars1 = chars + chars0 + chars1;% ⊦ (char ' + chars).rest = chars;