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Proof step 10 from proof dels-ignore-data (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
key.data?, inodekey(ino) ∈ ro, key ∈ ri ⊦ # ro = 0, ((ri -- datakey(ino, n)) ⊖ ro)[key] = (ri ⊖ ro)[key], key = datakey(ino, n), ro = ∅, key ∈ ro, inodekey(key.ino) ∈ ro

Rule argument

Additional information

Used simplifier rules: ⊦ key ∈ ri -- key0 ↔ key ≠ key0 ∧ key ∈ ri; (s)