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Proof step 1 from proof disj-distr-uni (conclusion)

⊦ H1 ⊥ H → (H0 ⊥ H1 ∪ H ↔ H0 ⊥ H1 ∧ H0 ⊥ H)

System applied rule normalize

And obtained the following new goals

Proof step 2:
H1 ⊥ H ⊦ H0 ⊥ H1 ∪ H ↔ H0 ⊥ H1 ∧ H0 ⊥ H

Rule argument

Additional information