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Proof step 10 from proof replay-orphans-inode (previous step)

⊦ inodekey(ino) ∈ ro, (inodekey(ino) ∈ ri[inodekey(ino), adr] ∧ ¬ inodekey(ino) ∈ ro ∧ (inodekey(ino).data? → ¬ inodekey(inodekey(ino).ino) ∈ ro)) ∧ adr = (ri[inodekey(ino), adr] ⊖ ro)[inodekey(ino)]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
⊦ adr = (ri[inodekey(ino), adr] ⊖ ro)[inodekey(ino)], inodekey(ino) ∈ ro

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ inodekey(m).data?; (s)% ⊦ key ∈ ri[key, adr]; (s)