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Proof step 18 from proof replay-orphans-data (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
key.data?, key ∈ ri ⊦ (ri ⊖ ro)[key] = (ri[datakey(ino, n), adr] ⊖ ro)[key], key = datakey(ino, n), datakey(ino, n) ∈ ro, inodekey(ino) ∈ ro, key ∈ ro, inodekey(key.ino) ∈ ro

Proof step 18 from proof replay-orphans-data (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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