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Proof step 1 from proof del1 (conclusion)

⊦ ¬ a ∈ x → filter(x, y -1l a) = filter(x, y)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ filter(x, y -1l a) = filter(x, y), a ∈ x

Rule argument

Additional information