[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 10 from proof inv-renam (previous step)

err0 = err, root.dir?, fids-cons(root, fs, ofh) ⊦ ⟪choose err with pre-renam(path, path', err, user, root, fs, ofh) in err0 := err; if err0 = ESUCCESS then let tree0 = root[path], psynced0 = path' ∈ root, tree = root[path'] in {root := (root -- path)[path', tree0]; if psynced0 ∧ ¬ tree.dir? ∧ ¬ tree.fid ∈ ofh.fids ∧ ¬ tree.fid ∈ root.fids then fs := fs -- tree.fid}; psynced := ?⟫ true

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Proof step 11:
err0 = err1, root.dir?, fids-cons(root, fs, ofh), pre-renam(path, path', err, user, root, fs, ofh) ⊦ ⟪err0 := err; if err0 = ESUCCESS then let tree0 = root[path], psynced0 = path' ∈ root, tree = root[path'] in {root := (root -- path)[path', tree0]; if psynced0 ∧ ¬ tree.dir? ∧ ¬ tree.fid ∈ ofh.fids ∧ ¬ tree.fid ∈ root.fids then fs := fs -- tree.fid}; psynced := ?⟫ true
Proof step 22:
err0 = err, root.dir?, fids-cons(root, fs, ofh) ⊦ ∃ err. pre-renam(path, path', err, user, root, fs, ofh)

Proof step 10 from proof inv-renam (previous step)

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Rule argument

Additional information