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Proof step 8 from proof downcase-C (previous step)

⊦ downcase('C') = 'c', 28 ≤ 30 ∧ 30 ≤ pos('Z', sortedchars)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
pos('Z', sortedchars) < 30 ⊦ downcase('C') = 'c'

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (forward)% ⊦ ¬ m ≤ n ↔ n < m;