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Proof step 23 from proof truncate-inv (previous step)

⟨afs_truncate#(m, m / VFS_PAGE_SIZE; buf-opt, inode, bv, err, dirs, files1, asynced)⟩ (buf-opt = buf-opt0 ∧ inode = inode0 ∧ (bv ↔ bv0) ∧ err = err0 ∧ dirs = dirs0 ∧ files1 = files ∧ (asynced ↔ asynced0)), files1[ino] = mkfile(m, md0, # links(ino, dirs), content), buf-opt = none, inode = mkinode(ino, md0, false, # links(ino, dirs), 0, m), afs-cons(dirs, files1), afs-cons(dirs0, files), files1 ~ files, ino ∈ files1, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ (err0 = ESUCCESS ⊃ files[ino].content.stream from m = σ⊥ ∧ (n0 ≤ # buf → ino ∈ files ∧ files[ino].size = m) ∧ files1 -- ino = files -- ino ;⌊err0⌋ ) ∧ inode0 = mkinode(ino, md0, false, # links(ino, dirs), 0, m)

User applied rule call left

And obtained the following new goals

Proof step 24:
⟨if pre-truncate(inode, n, pageno, buf-opt, dirs, files) then let ino0 = 0, ino = 0 in afs_truncate_internal#(n, pageno; inode, buf-opt, ino0, ino, isdir, err, dirs, files; asynced) else abort⟩ (buf-opt = buf-opt0 ∧ inode = inode0 ∧ (isdir ↔ bv0) ∧ err = err0 ∧ dirs = dirs0 ∧ files = files0 ∧ (asynced ↔ asynced0)), isdir ↔ bv, files1[ino] = mkfile(m, md0, # links(ino, dirs), content), buf-opt = none, files = files1, inode = mkinode(ino, md0, false, # links(ino, dirs), 0, m), n = m, pageno = m / VFS_PAGE_SIZE, afs-cons(dirs0, files0), afs-cons(dirs, files1), files1 ~ files0, ino ∈ files1, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ VFS_PAGE_SIZE = 0, (err0 = ESUCCESS ⊃ files0[ino].content.stream from m = σ⊥ ∧ (n0 ≤ # buf → ino ∈ files0 ∧ files0[ino].size = m) ∧ files1 -- ino = files0 -- ino ;⌊err0⌋ ) ∧ inode0 = mkinode(ino, md0, false, # links(ino, dirs), 0, m)

Rule argument

pos: left 1

Additional information

Used simplifier rules: afs_truncate# (N, PAGENO; PBUF-OPT, INODE, MODIFIED, ERR, DIRS, FILES, ASYNCED) {if pre-truncate(INODE, N, PAGENO, PBUF-OPT, DIRS, FILES) then let OFFSET = 0, SIZE = 0 in afs_truncate_internal# (N, PAGENO ; INODE, PBUF-OPT, OFFSET, SIZE, MODIFIED, ERR, DIRS, FILES ; ASYNCED) else abort };