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Proof step 17 from proof inv-seek (previous step)

of[fd, of[fd].pos:= (m4 + n0)][n] = mkfile(m1, mode0, m2), of[n] = mkfile(m, mode, m0), of[fd] = mkfile(m3, mode1, m4), dom of < ino, afs-cons(dirs, files), of-cons(of, dirs, files), n ∈ of[fd, of[fd].pos:= (m4 + n0)], fd ∈ of, n ∈ of → m ∈ files ⊦ m1 ∈ files

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
of[n] = mkfile(m, mode, m0), of[fd] = mkfile(m3, mode1, m4), of[fd, mkfile(m3, mode1, m4 + n0)][n] = mkfile(m1, mode0, m2), dom of < ino, afs-cons(dirs, files), of-cons(of, dirs, files), fd ∈ of, n ∈ of[fd, mkfile(m3, mode1, m4 + n0)], n ∈ of → m ∈ files ⊦ m1 ∈ files

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, mode, m0).pos:= m2 = mkfile(m, mode, m2); (s)