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Proof step 145 from proof inv-create (previous step)

fs[ri[inodekey(m)]].directory, ro.inodes?, fo.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, ro, fi, fo, log), inodekey(m) ∈ ri, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO ⊦ dentrykey(m, str) ∈ ri, inodekey(m) ∈ ro, ∃ n. ¬ inodekey(n) ∈ ri ∧ ¬ inodekey(n) ∈ fo ∧ n ≠ 0

Heuristic use patterns applied rule apply lemma

And obtained the following new goals

Rule argument

spec: aubifs-base name: new-inode-exists seq: ⊦ ∃ ino. ¬ inodekey(ino) ∈ ks subst: [ks] → [dom ri ∪ fo ∪ {inodekey(0)} ]

Additional information

Used terms: dom ri ∪ fo ∪ {inodekey(0)}