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Proof step 30 from proof truncate-smaller (previous step)

VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, files[m] = mkfile(m0, md0, # links(m, dirs), content0), files1 = files [m, mkfile(m0, md0, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ], inode = mkinode(m, md, false, # links(m, dirs), 0, m2), m2 % VFS_PAGE_SIZE ≠ 0, afs-cons(dirs, files), m ∈ files, m2 / VFS_PAGE_SIZE ∈ content0 ⊦ [afs_inode_sync#(mkinode(m, md, false, # links(m, dirs), 0, m2); dirs, files1); inode := (inode.ino ∈ dirs ⊃ mkinode(inode.ino, dirs[inode.ino].meta, true, dirs[inode.ino].nlink, dirs[inode.ino].nsubdirs, dirs[inode.ino].size) ;mkinode(inode.ino, files1[inode.ino].meta, false, files1[inode.ino].nlink, 0, files1[inode.ino].size) ); err := ESUCCESS; asynced := ?] (err = ESUCCESS ⊃ files1[inode.ino].content.stream to files1[inode.ino].size = files[inode.ino].content.stream to files1[inode.ino].size ∧ inode.ino ∈ files1 ∧ m2 = files1[inode.ino].size ∧ files[inode.ino].nlink = files1[inode.ino].nlink ∧ files -- inode.ino = files1 -- inode.ino ;⌊err⌋ ∧ files = files1 )

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 31:
VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, files0[m] = mkfile(m0, md0, # links(m, dirs), content0), files = files1, files1 = files0 [m, mkfile(m0, md0, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ], inode = mkinode(m, md, false, # links(m, dirs), 0, m2), inode0 = mkinode(m, md, false, # links(m, dirs), 0, m2), afs-cons(dirs, files0), m2 / VFS_PAGE_SIZE ∈ content0, m ∈ files0 ⊦ [let ino = inode.ino in if ino ∈ files then {files[ino].size := inode.size; files[ino].meta := inode.meta} else if ino ∈ dirs then dirs[ino].meta := inode.meta; inode0 := (inode0.ino ∈ dirs ⊃ mkinode(inode0.ino, dirs[inode0.ino].meta, true, dirs[inode0.ino].nlink, dirs[inode0.ino].nsubdirs, dirs[inode0.ino].size) ;mkinode(inode0.ino, files[inode0.ino].meta, false, files[inode0.ino].nlink, 0, files[inode0.ino].size) ); err := ESUCCESS; asynced := ?] (err = ESUCCESS ⊃ files[inode0.ino].content.stream to files[inode0.ino].size = files0[inode0.ino].content.stream to files[inode0.ino].size ∧ inode0.ino ∈ files ∧ m2 = files[inode0.ino].size ∧ files0[inode0.ino].nlink = files[inode0.ino].nlink ∧ files0 -- inode0.ino = files -- inode0.ino ;⌊err⌋ ∧ files0 = files ), m2 % VFS_PAGE_SIZE = 0

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_inode_sync#(INODE; DIRS, FILES) {let INO = INODE.ino in if INO ∈ FILES then {FILES[INO].size := INODE.size; FILES[INO].meta := INODE.meta} else if INO ∈ DIRS then DIRS[INO].meta := INODE.meta };