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Proof step 176 from proof inv-writepage (previous step)

# buf = VFS_PAGE_SIZE, files[key.ino] = mkfile(m0, md, m1, content), pcache[datakey(m, pageno), mkpentry(true, buf)][key] = mkpentry(boolvar, buf0), afs-cons(dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, key ∈ pcache[datakey(m, pageno), mkpentry(true, buf)] ⊦ key = datakey(m, pageno), key.data? ∧ # buf0 = VFS_PAGE_SIZE ∧ key.ino ∈ files ∧ (¬ boolvar → key.part ∈ content ∧ buf0 = content[key.part])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 177:
# buf = VFS_PAGE_SIZE, files[key.ino] = mkfile(m0, md, m1, content), pcache[key] = mkpentry(boolvar, buf0), afs-cons(dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, key ∈ pcache ⊦ key = datakey(m, pageno), key.data? ∧ # buf0 = VFS_PAGE_SIZE ∧ key.ino ∈ files ∧ (¬ boolvar → key.part ∈ content ∧ buf0 = content[key.part])

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)