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Proof step 43 from proof inv-open (previous step)

dom of < ino1, afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ dirs ∨ ino0 ∈ files ⊦ ⟪fail#(; ; err); if err = ESUCCESS then if inode.directory then err := (inode.directory ⊃ EISDIR;ENOTDIR) else if (mode = MODE_R ∨ mode = MODE_RW) ∧ ¬ pr(user, inode.meta) ∨ (mode = MODE_W ∨ mode = MODE_RW) ∧ ¬ pw(user, inode.meta) then err := EACCESS; if err = ESUCCESS then {of[ino1] := mkfile(ino0, mode, 0); fd := ino1; ino1 := ino1 + 1}⟫ (of-cons(of, dirs, files) ∧ dom of < ino1)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 44:
dom of < ino1, afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ dirs ∨ ino0 ∈ files ⊦ ⟪choose err0 with ⌊err0⌋ in err := err0; if err = ESUCCESS then if inode.directory then err := (inode.directory ⊃ EISDIR;ENOTDIR) else if (mode = MODE_R ∨ mode = MODE_RW) ∧ ¬ pr(user, inode.meta) ∨ (mode = MODE_W ∨ mode = MODE_RW) ∧ ¬ pw(user, inode.meta) then err := EACCESS; if err = ESUCCESS then {of[ino1] := mkfile(ino0, mode, 0); fd := ino1; ino1 := ino1 + 1}⟫ (of-cons(of, dirs, files) ∧ dom of < ino1)

Rule argument

pos: right 1

Additional information

Used simplifier rules: fail#(; ; ERR){choose ERR0 with ⌊ERR0⌋ in ERR := ERR0};