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Proof step 15 from proof replay-drop-data (previous step)

inodekey(ino) ∈ ro, key.data? → ¬ inodekey(key.ino) ∈ ro, key = datakey(ino, n) ∨ key ∈ ri ⊦ # ro = 0, (ri[datakey(ino, n), adr] ⊖ ro)[key] = (ri ⊖ ro)[key], ro = ∅, key ∈ ro, key ∈ ri[datakey(ino, n), adr] ∧ ¬ key ∈ ro ∧ ¬ key.data?

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
key.data?, inodekey(ino) ∈ ro, key ∈ ri[datakey(ino, n), adr], key = datakey(ino, n) ∨ key ∈ ri ⊦ # ro = 0, (ri[datakey(ino, n), adr] ⊖ ro)[key] = (ri ⊖ ro)[key], ro = ∅, key ∈ ro, inodekey(key.ino) ∈ ro

Rule argument

Additional information

Used simplifier rules: ⊦ key ∈ ri[key0, adr] ↔ key = key0 ∨ key ∈ ri; (ws)