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Proof step 7 from proof val-total-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
pos(char, sortedchars) = pos(char2, sortedchars) ⊦ char = char2

Rule argument

Additional information

Used simplifier rules: ler: ⊦ m ≤ m; from specification nat%anti: ⊦ m ≤ n → (n ≤ m ↔ m = n); from specification nat%lels: ⊦ ¬ m < n ↔ n ≤ m; from specification nat