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Proof step 12 from proof replayone-keep-adr (previous step)

nd = truncnode(key, ino), adr0 ∈ replay-one(adr, nd, ri) ⊦ adr0 = adr, adr0 ∈ ri

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
adr0 ∈ ri \ datakeys(key, ino, ri) ⊦ adr0 = adr, adr0 ∈ ri

Rule argument

Additional information

Used simplifier rules: replay-trunc: ⊦ replay-one(adr, truncnode(key, n), ri) = ri \ datakeys(key, n, ri);