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Proof step 3 from proof replay-log-write (previous step)

⊦ replay-log(log, fs[adr, nd], ri) = replay-log(log, fs, ri), adr ∈ log

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 4:
∀ fs, adr, nd, ri. replay-log(log0, fs[adr, nd], ri) = replay-log(log0, fs, ri) ∨ adr ∈ log0 ⊦ replay-log(adr0 + log0, fs[adr, nd], ri) = replay-log(adr0 + log0, fs, ri), adr ∈ adr0 + log0

Rule argument

term: log

Additional information

Used simplifier rules: replay-log-empty: ⊦ replay-log([], fs, ri) = ri;%address-list freely generated by [], +;;