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Proof step 1 from proof inter-subseteq-weaken (conclusion)

⊦ as ⊆ as2 ∧ as0 ∩ as2 ⊆ as1 → as0 ∩ as ⊆ as1

System applied rule normalize

And obtained the following new goals

Proof step 2:
as ⊆ as2, as0 ∩ as2 ⊆ as1 ⊦ as0 ∩ as ⊆ as1

Rule argument

Additional information