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Proof step 4 from proof val-total-01 (previous step)

⊦ char = char2, char < char2, pos(char2, sortedchars) < pos(char, sortedchars)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
pos(char, sortedchars) ≤ pos(char2, sortedchars) ⊦ char = char2, char < char2

Rule argument

Additional information

Used simplifier rules: lels: ⊦ ¬ m < n ↔ n ≤ m; from specification nat