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Proof step 96 from proof inv-write (previous step)

m1 + n1 = m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE + VFS_PAGE_SIZE, of[fd] = mkfile(m, mode, m0), files1[m] = mkfile(m1, md, # links(m, dirs), content0), err = ESUCCESS, ¬ isdir, m1 = n2 + m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE, n0 ≠ 0, n2 ≠ 0, dom of < ino3, afs-cons(dirs, files), afs-cons(dirs, files1), of-cons(of, dirs, files), of-cons(of, dirs, files1), m ∈ files1, m1 / VFS_PAGE_SIZE ∈ content0, fd ∈ of, n0 ≤ # buf0, n2 + n1 ≤ VFS_PAGE_SIZE ⊦ [vfs_write_block#(m0, mkinode(m, md, false, # links(m, dirs), 0, m1), buf0, m0 + n0, dirs; ino, isdir, err, files, asynced)] (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), mode ≠ MODE_W ∧ mode ≠ MODE_RW

User applied rule call right

And obtained the following new goals

Proof step 97:
⊦
Proof step 98:
m1 + n1 = m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE + VFS_PAGE_SIZE, files1[m] = mkfile(m1, md, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), buf = buf0, err = ESUCCESS, ino0 = ino, ino1 = m0 + n0, ino2 = m0, inode = mkinode(m, md, false, # links(m, dirs), 0, m1), ¬ isdir, m1 = n2 + m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE, dom of < ino3, afs-cons(dirs, files1), afs-cons(dirs, files), of-cons(of, dirs, files1), of-cons(of, dirs, files), fd ∈ of, m1 / VFS_PAGE_SIZE ∈ content0, m ∈ files1, n2 + n1 ≤ VFS_PAGE_SIZE, n0 ≤ # buf0 ⊦ [let pageno = (ino2 + ino0) / VFS_PAGE_SIZE, ino = (ino2 + ino0) % VFS_PAGE_SIZE in let n = min(ino1 - ino2 + ino0, VFS_PAGE_SIZE - ino) in if n ≠ 0 then {vfs_writepage#(inode, pageno, buf, ino0, ino, n, dirs; err, files, asynced); if err = ESUCCESS then ino0 := ino0 + n} else isdir := true] (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), n0 = 0, n2 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Rule argument

pos: right 1

Additional information

Used simplifier rules: write-block: ⊦ ;