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Proof step 79 from proof truncate-same-iso (previous step)

files1[ino0] = mkfile(m2, md0, # links(ino0, dirs), content0), files = files1[ino0, mkfile(m2, md0, # links(ino0, dirs), content0 upto m2)], inode = mkinode(ino0, md0, false, # links(ino0, dirs), 0, m2), afs-cons(dirs, files1), ino0 ∈ files1 ⊦ [afs_inode_sync#(mkinode(ino0, md0, false, # links(ino0, dirs), 0, m2); 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 := ?] (files1 ~ files ∧ (⌊err⌋ ∨ err = ESUCCESS)), m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content0

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 80:
files1[ino0] = mkfile(m2, md0, # links(ino0, dirs), content0), files = files1[ino0, mkfile(m2, md0, # links(ino0, dirs), content0 upto m2)], inode = mkinode(ino0, md0, false, # links(ino0, dirs), 0, m2), inode0 = mkinode(ino0, md0, false, # links(ino0, dirs), 0, m2), afs-cons(dirs, files1), ino0 ∈ 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 := ?] (files1 ~ files ∧ (⌊err⌋ ∨ err = ESUCCESS)), m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / 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 };