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Proof step 21 from proof inv-close (previous step)

of[fd] = mkfile(m, mode, m0), err = ESUCCESS, err0 = ESUCCESS, ino = m, inode = p_inode, dom of < ino0, afs-cons(dirs, files), of-cons(of, dirs, files), fd ∈ of ⊦ ⟪vfs_put_inode#(getinode(ino, dirs, files), of -- fd, asynced; err, dirs, files)⟫ (of-cons(of -- fd, dirs, files) ∧ dom(of -- fd) < ino0 ∧ afs-cons(dirs, files))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
of[fd] = mkfile(m, mode, m0), err = ESUCCESS, dom of < ino0, afs-cons(dirs, files), of-cons(of, dirs, files), fd ∈ of ⊦ ⟪vfs_put_inode#(mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size), of -- fd, asynced; err, dirs, files)⟫ (of-cons(of -- fd, dirs, files) ∧ afs-cons(dirs, files))

Rule argument

Additional information

Used simplifier rules: ⊦ ns < n → ns -- n0 < n; (s)% ⊦ dom(of -- fd) = dom of -- fd; (s)%⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) ∧ afs-cons(dirs, files) → ¬ ino ∈ dirs; (s)%⊦ getinode(ino, dirs, files) = (ino ∈ dirs ⊃ mkinode (ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode (ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ); (s)