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Proof step 3 from proof ri-cons-range-restrict-notin-gstore (previous step)

ri-cons(ri, nodes(gstore, ginval)) ⊦ #(range ri | n) = 0, range ri | n = ∅, n ∈ gstore

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ as = as0 ↔ (∀ adr. adr ∈ as ↔ adr ∈ as0)
Proof step 5:
ri-cons(ri, nodes(gstore, ginval)) ⊦ #(range ri | n) = 0, n ∈ gstore, ∀ adr. adr ∈ range ri | n ↔ adr ∈ ∅

Rule argument

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

Additional information

Used terms: ∅, range ri | n