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Proof step 372 from proof inv-truncate-buff-none-cached (previous step)

# buf0 = VFS_PAGE_SIZE, files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), pcache0[datakey(m0, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf0), pcache0[datakey(m0, m3)] = mkpentry(boolvar0, buf), m3 * VFS_PAGE_SIZE < min(m4, m2), afs-cons(dirs, files0[m0, mkfile(m4, md0, # links(m0, dirs), content0 upto min(m4, m2))]), afs-cons(dirs, files0), synced(dirs, icache, pcache0), datakey(m0, m3) ∈ pcache0, m0 ∈ files0, datakey(m0, m2 / VFS_PAGE_SIZE) ∈ pcache0, asynced2 → synced(files0, icache, pcache0), ¬ boolvar → m2 / VFS_PAGE_SIZE ∈ content0 ∧ buf0 = content0[m2 / VFS_PAGE_SIZE], ∀ key. key ∈ pcache0 → key.data? ∧ # pcache0[key].page = VFS_PAGE_SIZE ∧ key.ino ∈ files0 ∧ (¬ pcache0[key].dirty → key.part ∈ files0[key.ino].content ∧ pcache0[key].page = files0[key.ino].content[key.part]), ∀ key. key ∈ pcache0 → key.data? ⊦ # buf = VFS_PAGE_SIZE ∧ (¬ boolvar0 → m3 ∈ content0 ∧ buf = content0[m3]), m2 ≤ m4 ∧ m2 % VFS_PAGE_SIZE ≠ 0

User applied rule all left

And closed the goal!

Rule argument

pos: left 14 terms: datakey(m0, m3) 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)% ⊦ mkpentry(boolvar, buf).page = buf; (s)% ⊦ mkpentry(boolvar, buf).dirty ↔ boolvar; (s)% ⊦ mkfile(m, md, m0, content).content = content; (s) Used terms: datakey(m0, m3)