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Proof step 3 from proof refine-read (previous step)

buf = buf0, err = err0, n = n0, ofh = abs-of(of), root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), n0 ≤ # buf0, psynced → asynced ⊦ ⟪vfs_read#(fd, user, dirs, files, asynced; buf, n, err, of)⟫ ⟨posix_read#(fd, user, root, abs-files(files); buf0, n0, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ buf = buf0 ∧ n = n0 ∧ err = err0)

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: vfs-asm name: inv-read seq: of-cons(of, dirs, files), dom of < ino, afs-cons(dirs, files), n ≤ # buf ⊦ ⟪vfs_read#(fd, user, dirs, files, asynced; buf, n, err, of)⟫ (of-cons(of, dirs, files) ∧ dom of < ino) subst: [asynced, files, dirs, user, fd, of, err, n, buf, ino] → [asynced, files, dirs, user, fd, of, err, n, buf, ino] flags: <all paths>

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