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Proof step 8 from proof replay-orphans-inode (previous step)

⊦ inodekey(ino) ∈ ro, inodekey(ino) ∈ ri[inodekey(ino), adr] ⊖ ro ∧ adr = (ri[inodekey(ino), adr] ⊖ ro)[inodekey(ino)]

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: aubifs-base name: in-dels-ro seq: ⊦ key ∈ ri ⊖ ks ↔ key ∈ ri ∧ ¬ key ∈ ks ∧ (key.data? → ¬ inodekey(key.ino) ∈ ks) subst: [ks, ri, key] → [ro, ri[inodekey(ino), adr], inodekey(ino)] flags: <all paths>

Additional information

Used terms: ro, ri[inodekey(ino), adr], inodekey(ino)