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Proof step 4 from proof truncate-inv (previous step)

files1[ino] = mkfile(m, md, m0, content), buf-opt = none, files0 = files1, inode = mkinode(ino, md, false, m0, 0, m), m = n, mkinode(ino, md, false, m0, 0, m) = inode0, afs-cons(dirs, files1), ino ∈ files1 ⊦ [afs_truncate#(m, m / VFS_PAGE_SIZE; buf-opt, inode, bv, err, dirs, files1, asynced)] ( (err = ESUCCESS ⊃ files1[ino].content.stream from n = σ⊥ ∧ (∀ n0, n1, buf. n1 ≤ # buf → write-inv(n0, n0 + n1, inode0, buf, 0, dirs, files1, files1)) ∧ files0 -- ino = files1 -- ino ;⌊err⌋ ) ∧ files0 ~ files1 ∧ inode = inode0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
# links(ino, dirs) = m0, files1[ino] = mkfile(n, md, # links(ino, dirs), content), buf-opt = none, files0 = files1, inode = mkinode(ino, md, false, # links(ino, dirs), 0, n), afs-cons(dirs, files1), ino ∈ files1 ⊦ [afs_truncate#(n, n / VFS_PAGE_SIZE; buf-opt, inode, bv, err, dirs, files1, asynced)] ( (err = ESUCCESS ⊃ files1[ino].content.stream from n = σ⊥ ∧ (∀ n0, n1, buf. n1 ≤ # buf → write-inv(n0, n0 + n1, mkinode(ino, md, false, m0, 0, n), buf, 0, dirs, files1, files1)) ∧ files0 -- ino = files1 -- ino ;⌊err⌋ ) ∧ files0 ~ files1 ∧ inode = mkinode(ino, md, false, m0, 0, n))

Rule argument

Additional information

Used simplifier rules: afs-cons-file-nlink: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n, content) → # links(ino, dirs) = n; (forward) from specification afs-base