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Proof step 3 from proof lookup-rem-inj-range-inter-empty (previous step)

ri-inj(ri) ⊦ #(ri[ks] ∩ range(ri \ ks)) = 0, ri[ks] ∩ range(ri \ ks) = ∅

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: set-basic, inst: node-store name: Extension seq: ⊦ as = as0 ↔ (∀ adr. adr ∈ as ↔ adr ∈ as0) subst: [as0, as] → [∅, ri[ks] ∩ range(ri \ ks)] flags: <all paths>

Additional information

Used terms: ∅, ri[ks] ∩ range(ri \ ks)