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Proof step 1 from proof at-eq (conclusion)

⊦ m < # chars ∧ n < # chars ∧ ¬ dups(chars) → (chars[m] ' = chars[n] ' ↔ m = n)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
chars[m] ' = chars[n] ', n < # chars, m < # chars ⊦ m = n, chars = [], dups(chars)

Rule argument

Additional information

Used simplifier rules: ⊦ # chars = 0 ↔ chars = [];% ⊦ m < n → n ≠ 0; (forward)