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Proof step 54 from proof inv-writepage (previous step)

# buf = VFS_PAGE_SIZE, icache[ino] = mkientry(boolvar, inode), files[m] = mkfile(m0, md, # links(m, dirs), content), pcache[datakey(ino, n)] = mkpentry(true, buf0), afs-cons(dirs, files[m, mkfile(m0, md, # links(m, dirs), content[pageno, buf])]), afs-cons(dirs, files), synced(files, icache, pcache), ino ∈ files, m ∈ files, datakey(ino, n) ∈ pcache, ino ∈ icache → ¬ boolvar, ∀ n. datakey(ino, n) ∈ pcache → ¬ pcache[datakey(ino, n)].dirty ⊦ datakey(ino, n) = datakey(m, pageno)

Heuristic use patterns applied rule all left

And closed the goal!

Rule argument

pos: left 12 terms: n abort: T discard: F computed: F

Additional information

Used simplifier rules: ⊦ mkpentry(boolvar, buf).dirty ↔ boolvar; (s) Used terms: n