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Proof step 15 from proof inv-close (previous step)

of[fd] = mkfile(m, mode, m0), err = ESUCCESS, ino = m, inode = p_inode, dom of < ino0, afs-cons(dirs, files), of-cons(of, dirs, files), fd ∈ of ⊦ ⟪if pre-iget(ino, dirs, files) then {{inode := getinode(ino, dirs, files); err := ESUCCESS} or fail#(; ; err)} else abort; if err = ESUCCESS then {of := of -- fd; vfs_put_inode#(inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ dom of < ino0 ∧ afs-cons(dirs, files))

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 16:
of[fd] = mkfile(m, mode, m0), err = ESUCCESS, ino = m, inode = p_inode, dom of < ino0, afs-cons(dirs, files), of-cons(of, dirs, files), fd ∈ of ⊦ ⟪{inode := getinode(ino, dirs, files); err := ESUCCESS} or fail#(; ; err); if err = ESUCCESS then {of := of -- fd; vfs_put_inode#(inode, of, asynced; err, dirs, files)}⟫ (of-cons(of, dirs, files) ∧ dom of < ino0 ∧ afs-cons(dirs, files))

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ pre-iget(ino, dirs, files) ↔ valid-ino(ino, dirs, files); (s)% ⊦ valid-ino(ino, dirs, files) ↔ ino ∈ dirs ∨ ino ∈ files; (s)%⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) ∧ afs-cons(dirs, files) → ¬ ino ∈ dirs; (s)%⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) → ino ∈ files; (ss)