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Proof step 28 from proof replay-orphans-inode (previous step)

datakey(m, m0) ∈ ri[inodekey(ino), adr], datakey(m, m0) ∈ ri ⊦ ri[datakey(m, m0)] = ri[inodekey(ino), adr][datakey(m, m0)], datakey(m, m0) = inodekey(ino), datakey(m, m0) ∈ ro, inodekey(m) ∈ ro, inodekey(ino) ∈ ro

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
datakey(m, m0) ∈ ri, datakey(m, m0) ∈ ri[inodekey(ino), adr] ⊦ ri[datakey(m, m0)] = ri[inodekey(ino), adr][datakey(m, m0)], inodekey(ino) ∈ ro, inodekey(m) ∈ ro, datakey(m, m0) ∈ ro

Rule argument

Additional information

Used simplifier rules: ⊦ inodekey(m) ≠ datakey(m0, m1); (s)