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Proof step 3 from proof read-inv-post (previous step)

files[ino] = mkfile(m, md, m1, content), read-inv(n0, n1, mkinode(ino, md, false, m0, 0, m), buf0, buf1, n, dirs, files) ⊦ copy((content.stream to m).buf, n0, buf0, 0, n) = buf1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ read-inv(n0, n1, inode, buf0, buf1, n, dirs, files) ↔ afs-cons(dirs, files) ∧ # buf0 = # buf1 ∧ inode.ino ∈ files ∧ files[inode.ino].size = inode.size ∧ n0 + n ≤ n1 ∧ n0 + n ≤ inode.size ∧ n1 - n0 ≤ # buf0 ∧ read-inv(n0, n1, buf0, buf1, n, files[inode.ino].content)
Proof step 5:
# buf0 = # buf1, files[mkinode(ino, md, false, m0, 0, m).ino].size = mkinode(ino, md, false, m0, 0, m).size, files[ino] = mkfile(m, md, m1, content), afs-cons(dirs, files), read-inv(n0, n1, buf0, buf1, n, files[mkinode(ino, md, false, m0, 0, m).ino].content), mkinode(ino, md, false, m0, 0, m).ino ∈ files, n0 + n ≤ n1, n0 + n ≤ mkinode(ino, md, false, m0, 0, m).size, n1 - n0 ≤ # buf0 ⊦ copy((content.stream to m).buf, n0, buf0, 0, n) = buf1

Rule argument

spec: <toplevel> name: read-inv-strong seq: ⊦ read-inv(n0, n1, inode, buf0, buf1, n, dirs, files) ↔ afs-cons(dirs, files) ∧ # buf0 = # buf1 ∧ inode.ino ∈ files ∧ files[inode.ino].size = inode.size ∧ n0 + n ≤ n1 ∧ n0 + n ≤ inode.size ∧ n1 - n0 ≤ # buf0 ∧ read-inv(n0, n1, buf0, buf1, n, files[inode.ino].content) subst: [files, dirs, n, buf1, buf0, inode, n1, n0] → [files, dirs, n, buf1, buf0, mkinode(ino, md, false, m0, 0, m), n1, n0] flags: <all paths>

Additional information

Used terms: files, dirs, n, buf1, buf0, mkinode(ino, md, false, m0, 0, m), n1, n0