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Proof step 9 from proof truncate-inv (previous step)

# links(ino, dirs) = m1, files1[ino] = mkfile(n, md, m1, content), files1[ino] = mkfile(m, md0, m1, content0), buf-opt = none, files0 = files1, inode = mkinode(ino, md, false, m1, 0, n), m1 = m0, afs-cons(dirs, files1), ino ∈ files1 ⊦ [afs_truncate#(n, n / VFS_PAGE_SIZE; buf-opt, inode, bv, err, dirs, files1, asynced)] ( afs-cons(dirs, files1) → (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))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
# links(ino, dirs) = m0, files1[ino] = mkfile(m, md0, # links(ino, dirs), content0), buf-opt = none, files0 = files1, inode = mkinode(ino, md0, false, # links(ino, dirs), 0, m), afs-cons(dirs, files1), ino ∈ files1 ⊦ [afs_truncate#(m, m / VFS_PAGE_SIZE; buf-opt, inode, bv, err, dirs, files1, asynced)] ( afs-cons(dirs, files1) → (err = ESUCCESS ⊃ files1[ino].content.stream from m = σ⊥ ∧ (∀ n0, n1, buf. n1 ≤ # buf → write-inv(n0, n0 + n1, mkinode(ino, md0, false, m0, 0, m), buf, 0, dirs, files1, files1)) ∧ files0 -- ino = files1 -- ino ;⌊err⌋ ) ∧ files0 ~ files1 ∧ inode = mkinode(ino, md0, false, m0, 0, m))

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0; (ws)