[Imprint][Data Privacy Statement][E-Mail]



View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 73 from proof walk-term (previous step)

dirs[ino] = mkdir(m, md, # links(ino, dirs), m1, entries), afs-cons(dirs, files), px(user, md), ino ∈ dirs, links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO, ∀ p0, err, dirs, files, ino, user, asynced. # p0 < #(str + p1) → err = ESUCCESS ∧ afs-cons(dirs, files) ∧ (ino ∈ dirs ∨ ino ∈ files) ∧ (links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO) → ⟪while p0 ≠ ε ∧ err = ESUCCESS do {choose inode with true in vfs_may_lookup#(ino, user, dirs, files, asynced; inode, err); if err = ESUCCESS then let dent = negdentry(p0.head) in {afs_lookup#(ino, dirs, files, asynced; dent, err); if err = ESUCCESS then {ino := dent.ino; p0 := p0.tail}}}⟫ true ⊦ ∃ err0. ⌊err0⌋

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: ECOMMIT

Additional information

Used simplifier rules: ⊦ ⌊ECOMMIT⌋ ; (s) Used terms: ECOMMIT