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Proof step 6 from proof inv-newino (previous step)

ro.inodes?, fo.inodes?, log-cons(log, fs), ri-inj(ri), ri-inj(fi) ⊦ ∃ n. ¬ inodekey(n) ∈ ri ∧ ¬ inodekey(n) ∈ fo ∧ n ≠ 0

User applied rule apply lemma

And obtained the following new goals

Proof step 7:
⊦ ∃ ino. ¬ inodekey(ino) ∈ ks
Proof step 8:
fo.inodes?, ro.inodes?, log-cons(log, fs), ri-inj(fi), ri-inj(ri), ∃ ino. ¬ inodekey(ino) ∈ fo ∪ dom ri ∪ {inodekey(0)} ⊦ ∃ n. ¬ inodekey(n) ∈ ri ∧ ¬ inodekey(n) ∈ fo ∧ n ≠ 0

Rule argument

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

Additional information

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