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Proof step 1 from proof inter-subset-rem-empty (conclusion)
⊦ ns0 ∩ ns1 = ∅ ∧ ns2 ⊆ ns1 → (ns0 \ ns3) ∩ ns2 = ∅
System applied rule normalize
And obtained the following new goals
Proof step 2
:
ns0 ∩ ns1 = ∅, ns2 ⊆ ns1 ⊦ (ns0 \ ns3) ∩ ns2 = ∅
Rule argument
Additional information