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Proof step 95 from proof refine-writepage (previous step)

# buf = VFS_PAGE_SIZE, orphans(fs1, ri).inodes?, fo.inodes?, afs-cons (abs-dirs(fs1, ri), abs-files(fs1, ri)[m, mkfile(fs1[ri[inodekey(m)]].size, fs1[ri[inodekey(m)]].meta, fs1[ri[inodekey(m)]].nlink, abs-content(m, fs1, ri)[pageno, buf])]), afs-cons(abs-dirs(fs1, ri), abs-files(fs1, ri)), file-node-cons(fs1, ri), log-cons(log0, fs1), orphans-cons(fs1, ri, orphans(fs1, ri)), replay-cons-strong(fs1, ri, orphans(fs1, ri), fi, fo, log0), ri-inj(ri), ri-inj(fi), ubifs-cons(fs1, ri, orphans(fs1, ri), fi, fo, log0), datakey(m, n) ∈ ri, inodekey(m) ∈ ri, asynced0 → boolvar0 ⊦ abs-content(m, fs1, ri)[pageno, buf][n] = fs1[ri[datakey(m, n)]].data, adr1 = ri[inodekey(m)], adr1 = ri[datakey(m, n)], datakey(m, n) = datakey(m, pageno), fs1[ri[inodekey(m)]].directory, adr1 ∈ fs1

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store, inst: file-content name: At-other seq: ⊦ n ≠ n0 → content[n0, buf][n] = content[n] subst: [n, buf, n0, content] → [n, buf, pageno, abs-content(m, fs1, ri)] flags: <all paths>

Additional information

Used simplifier rules: ⊦ datakey(ino, n) ∈ ri → abs-content(ino, fs, ri)[n] = fs[ri[datakey(ino, n)]].data; (s) Used terms: n, buf, pageno, abs-content(m, fs1, ri)