[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 43 from proof refine-truncate (previous step)

fs = abs-files(files), root.dir?, root[path].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ pre-truncate(path, n, EISDIR, user, root, fs, abs-of(of)) ∧ ⟨err0 := EISDIR; if err0 = ESUCCESS then let fid = root[path].fid in let buf = fs[fid].content in fs[fid] := mkfile(fs[fid].meta, resize(buf, n)); psynced := ?⟩ (fs = abs-files(files) ∧ (psynced → asynced) ∧ EISDIR = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
fs = abs-files(files), root[path].dir?, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ ⟨err0 := EISDIR; if err0 = ESUCCESS then let fid = root[path].fid in let buf = fs[fid].content in fs[fid] := mkfile(fs[fid].meta, resize(buf, n)); psynced := ?⟩ (fs = abs-files(files) ∧ (psynced → asynced) ∧ EISDIR = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ pre-truncate(p, n, EISDIR, user, root, fs, ofh) ↔ root[p].dir?; (s)