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Proof step 87 from proof truncate-greater (previous step)

files1[m0] = mkfile(m, md0, # links(m0, dirs), content0), files = files1[m0, mkfile(m, md0, # links(m0, dirs), content0 upto m3)], inode = mkinode(m0, md, false, # links(m0, dirs), 0, m3), m3 < n, afs-cons(dirs, files1), m0 ∈ files1 ⊦ [afs_inode_sync#(mkinode(m0, md, false, # links(m0, dirs), 0, n); dirs, files); 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, files[inode.ino].meta, false, files[inode.ino].nlink, 0, files[inode.ino].size) ); err := ESUCCESS; asynced := ?] (err = ESUCCESS ⊃ files[inode.ino].content.stream to files[inode.ino].size = (files1[inode.ino].content.stream to m3) + (σ⊥ to (files[inode.ino].size - m3)) ∧ inode.ino ∈ files ∧ n = files[inode.ino].size ∧ files1[inode.ino].nlink = files[inode.ino].nlink ∧ files1 -- inode.ino = files -- inode.ino ;⌊err⌋ ∧ files1 = files ), m3 % VFS_PAGE_SIZE ≠ 0 ∧ m3 / VFS_PAGE_SIZE ∈ content0

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 88:
files1[m0] = mkfile(m, md0, # links(m0, dirs), content0), files = files1[m0, mkfile(m, md0, # links(m0, dirs), content0 upto m3)], inode = mkinode(m0, md, false, # links(m0, dirs), 0, n), inode0 = mkinode(m0, md, false, # links(m0, dirs), 0, m3), m3 < n, afs-cons(dirs, files1), m0 ∈ files1 ⊦ [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 = (files1[inode0.ino].content.stream to m3) + (σ⊥ to (files[inode0.ino].size - m3)) ∧ inode0.ino ∈ files ∧ n = files[inode0.ino].size ∧ files1[inode0.ino].nlink = files[inode0.ino].nlink ∧ files1 -- inode0.ino = files -- inode0.ino ;⌊err⌋ ∧ files1 = files ), m3 % VFS_PAGE_SIZE ≠ 0 ∧ m3 / VFS_PAGE_SIZE ∈ content0

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 };