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Proof step 84 from proof inv-create (previous step)

pcache[datakey(ino0, n)] = mkpentry(true, buf), dirs0[m1] = mkdir(m0, md2, # links(m1, dirs0), m4, entries1), icache0[ino0] = mkientry(boolvar0, inode), afs-cons(dirs0[m1, mkdir(m0 + 1, md1, # links(m1, dirs0), m4, entries1[str, ino0])], (files0 ++ ino0)[ino0, mkfile(0, md, 1, ∅)]), afs-cons(dirs0, files0), synced(files0, icache0, pcache), datakey(ino0, n) ∈ pcache, m1 ∈ dirs0, ∀ key. key ∈ pcache → key.data? ∧ # pcache[key].page = VFS_PAGE_SIZE ∧ key.ino ∈ files0 ∧ (¬ pcache[key].dirty → key.part ∈ files0[key.ino].content ∧ pcache[key].page = files0[key.ino].content[key.part]), links(m1, dirs0) ≠ ∅ ∨ m1 = ROOT_INO ⊦ ino0 = 0, str ∈ entries1, ino0 ∈ files0, ino0 ∈ dirs0

Heuristic use patterns applied rule all left

And closed the goal!

Rule argument

pos: left 9 terms: datakey(ino0, n) abort: T discard: F computed: F

Additional information

Used simplifier rules: ⊦ datakey(m, m0).data?; (s)% ⊦ datakey(m, m0).ino = m; (s) Used terms: datakey(ino0, n)