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Proof step 71 from proof inv-readpage (previous step)

# buf0 = VFS_PAGE_SIZE, icache[ino] = mkientry(boolvar, inode), pcache[datakey(m, pageno), mkpentry(false, content[pageno])][datakey(ino, n)] = mkpentry(true, buf), files[m] = mkfile(m0, md, # links(m, dirs), content), afs-cons(dirs, files), synced(dirs, icache, pcache), ino ∈ dirs, m ∈ files, pageno ∈ content, datakey(ino, n) ∈ pcache[datakey(m, pageno), mkpentry(false, content[pageno])], asynced2 → synced(files, icache, pcache), ino ∈ icache → ¬ boolvar, ∀ n. datakey(ino, n) ∈ pcache → ¬ pcache[datakey(ino, n)].dirty ⊦ content[pageno] = zeropage, datakey(ino, n) = datakey(m, pageno), datakey(m, pageno) ∈ pcache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 72:
# buf0 = VFS_PAGE_SIZE, icache[ino] = mkientry(boolvar, inode), files[m] = mkfile(m0, md, # links(m, dirs), content), pcache[datakey(ino, n)] = mkpentry(true, buf), afs-cons(dirs, files), synced(dirs, icache, pcache), pageno ∈ content, m ∈ files, ino ∈ dirs, datakey(ino, n) ∈ pcache, ino ∈ icache → ¬ boolvar, asynced2 → synced(files, icache, pcache), ∀ n. datakey(ino, n) ∈ pcache → ¬ pcache[datakey(ino, n)].dirty ⊦ content[pageno] = zeropage, datakey(ino, n) = datakey(m, pageno), datakey(m, pageno) ∈ pcache

Rule argument

Additional information

Used simplifier rules: ⊦ key ≠ key0 → (key ∈ pcache[key0, pe] ↔ key ∈ pcache); (s)% ⊦ key ≠ key0 → pcache[key0, pe][key] = pcache[key]; (s)