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Proof step 1 from proof del1-first (conclusion)

⊦ x.first = a ∧ x ≠ [] → a ' + (x -1l a) = x

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ x.first ' + (x -1l x.first) = x, x = []

Rule argument

Additional information