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Proof step 41 from proof readpage-prepost (previous step)

# buf = VFS_PAGE_SIZE, ((m0 => mkfile(n0, md, # links(m0, dirs), content) * F))(files), afs-cons(dirs, files) ⊦ ⌜zeropage⌝ = (content.stream from n * VFS_PAGE_SIZE) to VFS_PAGE_SIZE, n ∈ content

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 42:
⊦ ((ino => af * F))(files) ↔ F(files -- ino) ∧ ino ∈ files ∧ files[ino] = af
Proof step 43:
# buf = VFS_PAGE_SIZE, files[m0] = mkfile(n0, md, # links(m0, dirs), content), F(files -- m0), afs-cons(dirs, files), m0 ∈ files ⊦ ⌜zeropage⌝ = (content.stream from n * VFS_PAGE_SIZE) to VFS_PAGE_SIZE, n ∈ content

Rule argument

spec: maplet, inst: file-heap name: map-del seq: ⊦ ((ino => af * F))(files) ↔ F(files -- ino) ∧ ino ∈ files ∧ files[ino] = af subst: [files, F, af, ino] → [files, F, mkfile(n0, md, # links(m0, dirs), content), m0] flags: <all paths>

Additional information

Used terms: files, F, mkfile(n0, md, # links(m0, dirs), content), m0