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Proof step 86 from proof inv-readpage (previous step)

# buf0 = VFS_PAGE_SIZE, files[m] = mkfile(m0, md, # links(m, dirs), content), files[key.ino] = mkfile(m1, md0, m2, content0), pcache[key] = mkpentry(boolvar, buf), afs-cons(dirs, files), synced(dirs, icache, pcache), m ∈ files, pageno ∈ content, key ∈ pcache, asynced2 → synced(files, icache, pcache), ∀ key0. key0 ∈ pcache → key0.data? ∧ # pcache[key0].page = VFS_PAGE_SIZE ∧ key0.ino ∈ files ∧ (¬ pcache[key0].dirty → key0.part ∈ files[key0.ino].content ∧ pcache[key0].page = files[key0.ino].content[key0.part]) ⊦ content[pageno] = zeropage, datakey(m, pageno) ∈ pcache, key.data? ∧ # buf = VFS_PAGE_SIZE ∧ key.ino ∈ files ∧ (¬ boolvar → key.part ∈ content0 ∧ buf = content0[key.part])

Heuristic use patterns applied rule all left

And closed the goal!

Rule argument

pos: left 11 terms: key abort: T discard: F computed: F

Additional information

Used simplifier rules: afs-cons-file-nlink: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n, content) → # links(ino, dirs) = n; (forward) from specification afs-base% ⊦ mkpentry(boolvar, buf).page = buf; (s)% ⊦ mkpentry(boolvar, buf).dirty ↔ boolvar; (s)% ⊦ mkfile(m, md, m0, content).content = content; (s) Used terms: key