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Proof step 1 from proof append-from-gt (conclusion)

⊦ # x < n → x + y from n = y from (n - # x)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
# x < n ⊦ x + y from n = y from (n - # x), n = 0

Rule argument

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic1