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Proof step 85 from proof inv-rmdir (previous step)

# links(entries0[str], dirs0) = m2 + 1, dirs0[m] = mkdir(m3 + 1, md3, # links(m, dirs0), m0 + 1, entries0), dirs0[entries0[str]] = mkdir(m5, md1, m2 + 1, m7, ∅), dirs = dirs0[m, mkdir(m3, md3, # links(m, dirs0), m0, entries0 -- str)][entries0[str], mkdir(m5, md1, m2, m7, ∅)], ino = inode.ino, inode = mkinode(m, md0, true, # links(m, dirs0), m0 + 1, m3 + 1), afs-cons(dirs0, files), afs-cons(dirs0[m, mkdir(m3, md3, # links(m, dirs0), m0, entries0 -- str)][entries0[str], mkdir(m5, md1, m2, m7, ∅)], files), m ∈ dirs0, str ∈ entries0, entries0[str] ∈ dirs0, links(m, dirs0) ≠ ∅ ∨ m = ROOT_INO ⊦ [if ino ∈ files then {files[ino].size := inode.size; files[ino].meta := inode.meta} else if ino ∈ dirs then dirs[ino].meta := inode.meta] ( afs-cons(dirs, files) → ⟪afs_inode_sync#(mkinode(entries0[str], md, true, # links(entries0[str], dirs0), m7, m5); dirs, files); p_inode := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); c_inode := getinode(entries0[str], dirs, files); err := ESUCCESS; asynced := ?⟫ afs-cons(dirs, files)), entries0[str] = ROOT_INO, entries0[str] = m

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

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