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Proof step 57 from proof refine-commit (previous step)

remove-refsize0(gstore1) = gstore1, elems nx ∩ jro3 = ∅, dom remove-refsize0(gstore2) ∩ jro3 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro3, p_os.keys.inodes?, jro1.keys.inodes?, fi1.inos < pmaxino, ri.inos < jmaxino, p_os < pmaxino, jro1 < jmaxino, inv(gstore1), inv(gstore2 \ jro3), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro3)), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range ri), ri-cons(ri, nodes(gstore2 ↓, jro3)), ri-inj(fi1), ri-inj(ri), pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore1, ri.lebs ⊆ dom gstore2, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro3), jvalid2 → jvalid0 ⊦ #(refsize0-addresses((gstore2 \ jro3)↓) ∩ range ri) = 0, jmaxino = 0, pmaxino = 0, refsize0-addresses((gstore2 \ jro3)↓) ∩ range ri = ∅, dups(nx)

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] → [∅, refsize0-addresses((gstore2 \ jro3)↓) ∩ range ri] flags: <all paths>

Additional information

Used terms: ∅, refsize0-addresses((gstore2 \ jro3)↓) ∩ range ri