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Proof step 16 from proof del-put-again (previous step)

key ∈ ri[inodekey(m), adr], inodekey(m) ∈ ks, key ∈ ri ⊦ # ks = 0, ri[inodekey(m), adr][key] = ri[key], ks = ∅, key.data?, key ∈ ks

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store, inst: node-index name: At-other seq: ⊦ key ≠ key0 → ri[key0, adr][key] = ri[key] subst: [key, adr, key0, ri] → [key, adr, inodekey(m), ri] flags: <all paths>

Additional information

Used terms: key, adr, inodekey(m), ri