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Proof step 20 from proof replay-cons-add-orphan (previous step)

key = datakey(m, m0), key.data?, log-cons(log, fs), replay-safe(log, fs, fi ⊖ fo), key ∈ ri ⊦ (ri ⊖ (ro ++ inodekey(ino)))[key] = ((ri ⊖ inodekey(ino)) ⊖ ro)[key], key = inodekey(ino), m = ino, inodekey(m) ∈ ro, key ∈ ro

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
log-cons(log, fs), replay-safe(log, fs, fi ⊖ fo), datakey(m, m0) ∈ ri ⊦ (ri ⊖ (ro ++ inodekey(ino)))[datakey(m, m0)] = ((ri ⊖ inodekey(ino)) ⊖ ro)[datakey(m, m0)], m = ino, datakey(m, m0) ∈ ro, inodekey(m) ∈ ro

Rule argument

Additional information

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