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

⊦ as ⊆ as0 ∩ as ↔ as ⊆ as0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: set-basic, inst: node-store name: Subset seq: ⊦ as ⊆ as0 ↔ (∀ adr. adr ∈ as → adr ∈ as0) subst: [as0, as] → [as0 ∩ as, as] flags: <all paths>

Additional information

Used terms: as0 ∩ as, as