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Proof step 2 from proof prefixn-toset-subseteq (previous step)

ax.toSet ⊆ as ⊦ prefixn(n, ax).toSet ⊆ as

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
ax.toSet ⊆ as ⊦ prefixn(n, ax).toSet ⊆ as, prefixn(n, ax).toSet ⊆ ax.toSet

Rule argument

Additional information

Used simplifier rules: sub-ntrans-01: ⊦ as ⊆ as0 ∧ ¬ as1 ⊆ as0 → ¬ as1 ⊆ as; (forward) from specification set-basic[node-store]