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Proof step 103 from proof refine-close (previous step)

files[m] = mkfile(m1, md, m2, content), of0[fd] = mkfile(m, mode, m0), err0 = ESUCCESS, fs = abs-files(files), ofh = abs-of(of0), root.dir?, dom of0 < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of0)), is-open(m, of0 -- fd), of-cons(of0 -- fd, dirs, files), of-cons(of0, dirs, files), fd ∈ of0, psynced → asynced ⊦ fd ∈ ofh

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ fd ∈ of → of[fd] = (∅)[fd]; (s)% ⊦ fd ∈ abs-of(of) ↔ fd ∈ of; (s)