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Proof step 5 from proof crash-neutral-write_inode (previous step)

dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files), afs-cons(dirs, files), m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar ∨ m ∈ files ∧ m0 = files[m].nlink ∧ m1 = 0 ∧ ¬ boolvar ⊦ ⟨afs_write_inode#(mkinode(m, md, boolvar, m0, m1, m2); err, dirs, files; asynced)⟩ (asynced ∧ dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files))

Heuristic weak unfold applied rule call right

And obtained the following new goals

Proof step 6:
dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files), inode = mkinode(m, md, boolvar, m0, m1, m2), afs-cons(dirs, files), m ∈ dirs ∧ m0 = dirs[m].nlink ∧ m2 = dirs[m].size ∧ m1 = dirs[m].nsubdirs ∧ boolvar ∨ m ∈ files ∧ m0 = files[m].nlink ∧ m1 = 0 ∧ ¬ boolvar ⊦ ⟨if pre-write-inode(inode, dirs, files) then { {if inode.directory then dirs[inode.ino].meta := inode.meta else {files[inode.ino].meta := inode.meta; files[inode.ino].size := inode.size}; err := ESUCCESS} or fail#(; ; err); asynced := ?} else abort⟩ (asynced ∧ dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files))

Rule argument

pos: right 1

Additional information

Used simplifier rules: write_inode: ⊦ ;