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Proof step 8 from proof inv-recover (previous step)

dirs = dirs0 \ orphans(dirs0, files1), files = files1 \ orphans(dirs0, files1), dom of < ino, afs-cons(dirs0, files1), of-cons(of, dirs0, files1) ⊦ ⟪afs_recovery#(isdir; dirs, files; asynced, err)⟫ (err = ESUCCESS → asynced ∧ of-cons(∅, dirs, files) ∧ afs-cons(dirs, files))

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: afs-asm name: inv-recovery seq: dirs = dirs0 \ orphans(dirs0, files), files0 = files \ orphans(dirs0, files), asynced, afs-cons(dirs0, files) ⊦ ⟪afs_recovery#(asynced0; dirs, files0; asynced1, err)⟫ (err = ESUCCESS → asynced1 ∧ afs-cons(dirs, files0)) subst: [asynced0, files0, dirs, err, asynced1, asynced, dirs0, files] → [isdir, files, dirs, err, asynced, true, dirs0, files1] flags: <all paths>

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