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Theorem refine-gc

ri-cons(ri, fs), jro.keys = ro, p_os.keys = fo, fi = ri, fi0 = fi1, log = abs-log(nx, gstore ↓), fs = nodes(gstore ↓, jro0), jvalid → jvalid0, ri-inj(ri), ri-inj(fi1), log-cons(log, fs), ro.inodes?, fo.inodes?, jro < jmaxino, p_os < pmaxino, pmaxino ≤ jmaxino, fi.inos < jmaxino, fi0.inos < pmaxino, jmaxino ≠ 0, pmaxino ≠ 0, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro0), fi.lebs ⊆ dom gstore, fi0.lebs ⊆ dom gstore0, refsize-cons(gstore, range fi), refsize-cons(gstore0, range fi0), inv-journal(nx, gstore, gstore0, jro0), ri-inj(fi), ri-inj(fi0) ⊦ ⟪gjournal_journal_gc#(jvalid2, fi0, gstore0, pmaxino, p_os; jvalid1, jmaxino0, jmaxino, fi, jro0, gstore, nx, jvalid0)⟫ ⟨aubifs_core_journal_gc#(fi1, ro, fo; ri, fs, log; jvalid)⟩ (jro.keys = ro ∧ p_os.keys = fo ∧ fi = ri ∧ fi0 = fi1 ∧ log = abs-log(nx, gstore ↓) ∧ fs = nodes(gstore ↓, jro0) ∧ (jvalid → jvalid0))

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