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Proof step 51 from proof writepage-afs-cons (previous step)

# buf2 = VFS_PAGE_SIZE, dirs[ino1] = mkdir(# entries, md2, # links(ino1, dirs), # subdirs(ino1, dirs), entries), files[m] = mkfile(m0, md, # links(m, dirs), content), files[ino1] = mkfile(m1, md0, # links(ino1, dirs), content0), ino1 = m, mkfile(m0, md, # links(m, dirs), content[pageno, copy(buf0, ino0, buf2, ino, n)]) = mkfile(m3, md1, m4, content1), afs-cons(dirs, files), m ∈ files, ROOT_INO ∈ dirs, ino1 ∈ files, # links(ino1, dirs) ≤ 1, ino0 + n ≤ # buf0, ino + n ≤ VFS_PAGE_SIZE ⊦ ino1 ∈ dirs, m4 = # links(ino1, dirs) ∧ (n0 ∈ content1 → # content1[n0] = VFS_PAGE_SIZE)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 52:
# buf2 = VFS_PAGE_SIZE, files[m] = mkfile(m1, md0, # links(m, dirs), content0), dirs[m] = mkdir(# entries, md2, # links(m, dirs), # subdirs(m, dirs), entries), afs-cons(dirs, files), ROOT_INO ∈ dirs, m ∈ files, n0 ∈ content0[pageno, copy(buf0, ino0, buf2, ino, n)], ino + n ≤ VFS_PAGE_SIZE, ino0 + n ≤ # buf0, # links(m, dirs) ≤ 1 ⊦ # content0[pageno, copy(buf0, ino0, buf2, ino, n)][n0] = VFS_PAGE_SIZE, m ∈ dirs

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0; (ws)