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Proof step 21 from proof downcase-C (previous step)

58 = n0 + 28, 28 ≤ pos('Z', sortedchars), 30 ≤ pos('Z', sortedchars), 28 ≤ 30, 28 ≤ 58 ⊦ pos('Z', sortedchars) = 0, s→l(sortedchars)[30 + n0] = 'c'

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
30 ≤ pos('Z', sortedchars), 28 ≤ pos('Z', sortedchars) ⊦ pos('Z', sortedchars) = 0, s→l(sortedchars)[60] = 'c'

Rule argument

Additional information

Used simplifier rules: ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;%n0 < n ⊦ (* n) = m0 + (* n0) ↔ n - n0 = m0;