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Proof step 1 from proof ls-union-subseteq (conclusion)

⊦ as = as1 ∪ as2 → (as0 ∪ as1 ⊆ as ↔ as0 ⊆ as)

System applied rule normalize

And obtained the following new goals

Proof step 2:
as = as1 ∪ as2 ⊦ as0 ∪ as1 ⊆ as ↔ as0 ⊆ as

Rule argument

Additional information