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Proof step 382 from proof inv-write_inode (previous step)

# content0[m4] = VFS_PAGE_SIZE, (m3 = m ⊃ (files[m].meta:= md).size:= m2;files[m3]) = mkfile(m0, md0, m1, content), pcache[datakey(m3, m4)] = mkpentry(false, content0[m4]), files[m3] = mkfile(m5, md1, m6, content0), afs-cons(dirs, files[m, (files[m].meta:= md).size:= m2]), afs-cons(dirs, files), synced(dirs, icache, pcache), synced(files, icache, pcache), m3 ∈ files, m ∈ files, datakey(m3, m4) ∈ pcache, m4 ∈ content0, ∀ 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]) ⊦ m ∈ icache, m4 ∈ content ∧ content0[m4] = content[m4]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 383:
(m3 = m ⊃ (files[m].meta:= md).size:= m2;mkfile(m5, md1, # links(m3, dirs), content0)) = mkfile(m0, md0, m1, content), pcache[datakey(m3, m4)] = mkpentry(false, content0[m4]), files[m3] = mkfile(m5, md1, # links(m3, dirs), content0), afs-cons(dirs, files[m, (files[m].meta:= md).size:= m2]), afs-cons(dirs, files), synced(dirs, icache, pcache), synced(files, icache, pcache), m3 ∈ files, m ∈ files, datakey(m3, m4) ∈ pcache, m4 ∈ content0, ∀ 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]) ⊦ m ∈ icache, m4 ∈ content ∧ content0[m4] = content[m4]

Rule argument

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%⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n0, content) ∧ n ∈ content → # content[n] = VFS_PAGE_SIZE; (s)