[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 66 from proof refine-close (previous step)

# links(m, dirs) = 0, of0[fd] = mkfile(m, mode, m0), files[m] = mkfile(m1, md, 0, content), err0 = ESUCCESS, fs = abs-files(files), ofh = abs-of(of0), root.dir?, dom of0 < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), afs-cons(dirs, files -- m), fids-cons(root, abs-files(files), abs-of(of0)), of-cons(of0 -- fd, dirs, files -- m), of-cons(of0, dirs, files), fd ∈ of0, m ∈ files, psynced → asynced ⊦ m = ROOT_INO, is-open(m, of0 -- fd), fd ∈ ofh

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ fd ∈ abs-of(of) ↔ fd ∈ of; (s)