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Proof step 5 from proof subset-uni (previous step)

H0 ⊆ H1, H1 \ H0 ⊥ H0 ⊦ (H1 \ H0) ∪ H0 = H1 ∧ H1 \ H0 ⊥ H0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information