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Proof step 74 from proof refine-commit (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: gjournal-abs name: nodes-remove-refsize0 seq: ⊦ dom remove-refsize0(gstore) ∩ ginval = ∅ → nodes(remove-refsize0(gstore), ∅) = nodes(gstore, ginval) \ refsize0-addresses(gstore \ ginval) subst: [ginval, gstore] → [jro3, gstore2 ↓] flags: <all paths>

Additional information

Used simplifier rules: ⊦ dom remove-refsize0(gstore ↓) = dom remove-refsize0(gstore); (s)% ⊦ gstore ↓ \ ginval = (gstore \ ginval)↓; (s) Used terms: jro3, gstore2 ↓