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Proof step 80 from proof refine-writepage (previous step)

# buf = VFS_PAGE_SIZE, fo.inodes?, orphans(fs1, ri).inodes?, afs-cons(abs-dirs(fs1, ri), abs-files(fs1, ri)), 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])]), 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(fi), ri-inj(ri), ubifs-cons(fs1, ri, orphans(fs1, ri), fi, fo, log0), inodekey(m) ∈ ri, asynced0 → boolvar0 ⊦ adr1 = ri[inodekey(m)], datakey(m, n) = datakey(m, pageno), fs1[ri[inodekey(m)]].directory, adr1 ∈ fs1, (n ∈ abs-content(m, fs1, ri)[pageno, buf] ↔ datakey(m, n) ∈ ri[datakey(m, pageno), adr1]) ∧ ( n ∈ abs-content(m, fs1, ri)[pageno, buf] → abs-content(m, fs1, ri)[pageno, buf][n] = (adr1 = (datakey(m, pageno) = datakey(m, n) ⊃ adr1;ri[datakey(m, n)]) ⊃ datanode(datakey(m, pageno), buf) ;fs1[(datakey(m, pageno) = datakey(m, n) ⊃ adr1;ri[datakey(m, n)])] ) .data)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 81:
# 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), inodekey(m) ∈ ri, asynced0 → boolvar0 ⊦ adr1 = ri[inodekey(m)], datakey(m, n) = datakey(m, pageno), fs1[ri[inodekey(m)]].directory, adr1 ∈ fs1, (n ∈ abs-content(m, fs1, ri)[pageno, buf] ↔ datakey(m, n) ∈ ri) ∧ ( n ∈ abs-content(m, fs1, ri)[pageno, buf] → abs-content(m, fs1, ri)[pageno, buf][n] = (adr1 = ri[datakey(m, n)] ⊃ datanode(datakey(m, pageno), buf);fs1[ri[datakey(m, n)]]).data)

Rule argument

Additional information

Used simplifier rules: ⊦ key ≠ key0 → (key ∈ ri[key0, adr] ↔ key ∈ ri); (s)