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Proof step 43 from proof size-0 (previous step)

inv(gstore \ ginval), ri-cons(ri, nodes(gstore ↓, ginval)) ⊦ #(range ri | m) = 0, (range ri | m).size = 0, range ri | m = ∅, ∃ adr. adr ∈ ri ∧ adr.lnum = m

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 44:
⊦ as = as0 ↔ (∀ adr. adr ∈ as ↔ adr ∈ as0)
Proof step 45:
inv(gstore \ ginval), ri-cons(ri, nodes(gstore ↓, ginval)) ⊦ #(range ri | m) = 0, (range ri | m).size = 0, ∀ adr. adr ∈ range ri | m ↔ adr ∈ ∅, ∃ adr. adr ∈ ri ∧ adr.lnum = m

Rule argument

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

Additional information

Used terms: ∅, range ri | m