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Proof step 1 from proof app-05-neg (conclusion)

⊦ ¬ a ∈ x → pos(a, x + y) = pos(a, y) + # x

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ pos(a, x + y) = pos(a, y) + # x, a ∈ x

Rule argument

Additional information