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Proof step 10 from proof replayone-keep-adr (previous step)

nd = datanode(key, buf), adr0 ∈ replay-one(adr, nd, ri) ⊦ adr0 = adr, adr0 ∈ ri

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
adr0 ∈ (inodekey(key.ino) ∈ ri ⊃ ri[key, adr];ri) ⊦ adr0 = adr, adr0 ∈ ri

Rule argument

Additional information

Used simplifier rules: replay-data: ⊦ replay-one(adr, datanode(key, buf), ri) = (inodekey(key.ino) ∈ ri ⊃ ri[key, adr];ri);