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

datakey(ino, n) ∈ ri[datakey(ino, n), adr] ⊦ inodekey(ino) ∈ ro, datakey(ino, n) ∈ ro, datakey(ino, n) ∈ ri[datakey(ino, n), adr] ⊖ ro ∧ adr = ri[datakey(ino, n), adr][datakey(ino, n)]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

Used simplifier rules: ⊦ ri[key, adr][key] = adr; (s)% ⊦ key ∈ ri[key, adr]; (s)