[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 6 from proof inv-create (previous step)

err0 = err1, root.dir?, fids-cons(root, fs, ofh), pre-create(path, md, err, user, root, fs, ofh) ⊦ ⟪if err = ESUCCESS then choose fid with ¬ fid ∈ fs in {root[path] := fnode(fid); fs[fid] := mkfile(md, mkbuf(0))}; psynced := ?⟫ (root.dir? ∧ fids-cons(root, fs, ofh))

Heuristic conditional right split applied rule if right

And obtained the following new goals

Proof step 7:
err = ESUCCESS, err0 = err1, root.dir?, fids-cons(root, fs, ofh), pre-create(path, md, err, user, root, fs, ofh) ⊦ ⟪choose fid with ¬ fid ∈ fs in {root[path] := fnode(fid); fs[fid] := mkfile(md, mkbuf(0))}; psynced := ?⟫ (root.dir? ∧ fids-cons(root, fs, ofh))
Proof step 23:
err0 = err1, root.dir?, fids-cons(root, fs, ofh), pre-create(path, md, err, user, root, fs, ofh) ⊦ ⟪skip; psynced := ?⟫ (root.dir? ∧ fids-cons(root, fs, ofh)), err = ESUCCESS

Rule argument

pos: right 1

Proof step 6 from proof inv-create (previous step)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

Additional information