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Proof step 9 from proof exin-uni (previous step)

⊦ r = null, r ∈ H0, (H0 ++ r)[r, o] = H0 ∪ (∅ ++ r)[r, o] ∧ ¬ r ∈ H0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information