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Proof step 19 from proof replay-orphans-inode (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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