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Proof step 13 from proof readpage-prepost (previous step)

# buf = VFS_PAGE_SIZE, files[m0] = mkfile(m1, md0, # links(m0, dirs), content), ((m0 =>mkfile(n0, md, m, σ) * F))(files), afs-cons(dirs, files), m0 ∈ files, n ∈ content ⊦ ⌜content[n]⌝ = (σ from n * VFS_PAGE_SIZE) to VFS_PAGE_SIZE

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ ((ino =>mkfile(n, md, m, σ) * F))(files) ↔ (∃ content. ((ino => mkfile(n, md, m, content) * F))(files) ∧ content.stream = σ)
Proof step 15:
# buf = VFS_PAGE_SIZE, files[m0] = mkfile(m1, md0, # links(m0, dirs), content), afs-cons(dirs, files), n ∈ content, m0 ∈ files, ∃ content. ((m0 => mkfile(n0, md, m, content) * F))(files) ∧ content.stream = σ ⊦ ⌜content[n]⌝ = (σ from n * VFS_PAGE_SIZE) to VFS_PAGE_SIZE

Rule argument

spec: <toplevel> name: mkfile-stream seq: ⊦ ((ino =>mkfile(n, md, m, σ) * F))(files) ↔ (∃ content. ((ino => mkfile(n, md, m, content) * F))(files) ∧ content.stream = σ) subst: [files, F, σ, m, md, n, ino] → [files, F, σ, m, md, n0, m0] flags: <all paths>

Additional information

Used terms: files, F, σ, m, md, n0, m0