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Proof step 122 from proof refine-read (previous step)

files[m3] = mkfile(m1, md, # links(m3, dirs), content), of[fd] = mkfile(m3, mode0, m4), root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), of-cons(of[fd, mkfile(m3, mode0, m4 + ino)], dirs, files), read-inv(m4, m4 + n0, mkinode(m3, md, false, # links(m3, dirs), 0, m1), buf0, buf0, 0, dirs, files), read-inv(m4, m4 + n0, mkinode(m3, md, false, # links(m3, dirs), 0, m1), buf0, buf1, ino, dirs, files), m3 ∈ files, fd ∈ of, n0 ≤ # buf0, m4 ≤ m1, psynced → asynced, ⌊err1⌋ ∨ err1 = ESUCCESS ⊦ ∃ n1. n1 ≤ n0 ∧ of[fd].pos + n1 ≤ files[of[fd].ino].size ∧ ⟨n0 := n1; buf0 := copy((content.stream to m1).buf, m4, buf0, 0, n0); ofh := abs-of(of[fd, mkfile(m3, mode0, m4 + n0)])⟩ (ofh = abs-of(of[fd, of[fd].pos:= (m4 + n0)]) ∧ (psynced → asynced) ∧ buf1 = buf0 ∧ ino = n0), ino = 0, mode0 ≠ MODE_R ∧ mode0 ≠ MODE_RW, abs-of(of) = abs-of(of[fd, of[fd].pos:= (m4 + 0)]) ∧ (psynced → asynced) ∧ buf1 = buf0 ∧ ino = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 123:
of[fd] = mkfile(m3, mode0, m4), files[m3] = mkfile(m1, md, # links(m3, dirs), content), ino ≠ 0, root.dir?, dom of < ino2, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of[fd, mkfile(m3, mode0, m4 + ino)], dirs, files), of-cons(of, dirs, files), read-inv(m4, m4 + n0, mkinode(m3, md, false, # links(m3, dirs), 0, m1), buf0, buf1, ino, dirs, files), read-inv(m4, m4 + n0, mkinode(m3, md, false, # links(m3, dirs), 0, m1), buf0, buf0, 0, dirs, files), fd ∈ of, m3 ∈ files, m4 ≤ m1, n0 ≤ # buf0, psynced → asynced, ⌊err1⌋ ∨ err1 = ESUCCESS ⊦ ∃ n1. n1 ≤ n0 ∧ of[fd].pos + n1 ≤ files[of[fd].ino].size ∧ ⟨n0 := n1; buf0 := copy((content.stream to m1).buf, m4, buf0, 0, n0); ofh := abs-of(of[fd, mkfile(m3, mode0, m4 + n0)])⟩ (ofh = abs-of(of[fd, of[fd].pos:= (m4 + n0)]) ∧ (psynced → asynced) ∧ buf1 = buf0 ∧ ino = n0), mode0 ≠ MODE_R ∧ mode0 ≠ MODE_RW

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)