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Proof step 172 from proof inv-truncate-buff-some (previous step)

# buf-opt.buf = VFS_PAGE_SIZE, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, files0[m5] = mkfile(m0, md0, m4, content), files0[m3] = mkfile(m1, md1, # links(m3, dirs), content0), pcache0[datakey(m5, m6)] = mkpentry(boolvar, buf), buf-opt.some?, afs-cons (dirs, files0[m3, mkfile(m, md, # links(m3, dirs), content0[m2 / VFS_PAGE_SIZE, fill(buf-opt.buf, zero, m2 % VFS_PAGE_SIZE, n0)] upto m2)]), afs-cons(dirs, files0), synced(dirs, icache, pcache0), datakey(m5, m6) ∈ pcache0, m3 ∈ files0, m2 ≤ m, asynced1 → synced(files0, icache, pcache0), ∀ key0. key0 ∈ pcache0 → key0.data? ∧ # pcache0[key0].page = VFS_PAGE_SIZE ∧ key0.ino ∈ files0 ∧ (¬ pcache0[key0].dirty → key0.part ∈ files0[key0.ino].content ∧ pcache0[key0].page = files0[key0.ino].content[key0.part]), ∀ key. key ∈ pcache0 → key.data? ⊦ m2 % VFS_PAGE_SIZE = 0, datakey(m5, m6) = datakey(m3, m2 / VFS_PAGE_SIZE), m5 = m3, # buf = VFS_PAGE_SIZE ∧ m5 ∈ files0 ∧ (¬ boolvar → m6 ∈ content ∧ buf = content[m6])

User applied rule all left

And closed the goal!

Rule argument

pos: left 14 terms: datakey(m5, m6) abort: F discard: F computed: T

Additional information

Used simplifier rules: ⊦ datakey(m, m0).data?; (s)% ⊦ datakey(m, m0).ino = m; (s)% ⊦ datakey(m, m0).part = m0; (s)%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: datakey(m5, m6)