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Theorem refine-orphans-insert

key.inode?, 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_orphans_insert#(key; jmaxino, jro)⟫ ⟨aubifs_core_orphans_insert#(key, ri, fi1, fo, fs, log, jvalid; ro)⟩ (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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