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Proof step 53 from proof readpage-prepost (previous step)

# buf = VFS_PAGE_SIZE, files[m0] = mkfile(n0, md, # links(m0, dirs), content), n1 < VFS_PAGE_SIZE, F(files -- m0), afs-cons(dirs, files), m0 ∈ files ⊦ zero = getbyte(n * VFS_PAGE_SIZE + n1, content), n ∈ content

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 54:
⊦ getbyte(m, content) = getpage(m / VFS_PAGE_SIZE, content)[m % VFS_PAGE_SIZE]
Proof step 55:
# buf = VFS_PAGE_SIZE, files[m0] = mkfile(n0, md, # links(m0, dirs), content), n1 < VFS_PAGE_SIZE, F(files -- m0), afs-cons(dirs, files), m0 ∈ files ⊦ zero = getpage((n * VFS_PAGE_SIZE + n1) / VFS_PAGE_SIZE, content)[(n * VFS_PAGE_SIZE + n1) % VFS_PAGE_SIZE], n ∈ content

Rule argument

spec: afs-stream name: getbyte seq: ⊦ getbyte(m, content) = getpage(m / VFS_PAGE_SIZE, content)[m % VFS_PAGE_SIZE] subst: [content, m] → [content, n * VFS_PAGE_SIZE + n1] flags: <all paths>

Additional information

Used terms: content, n * VFS_PAGE_SIZE + n1