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Proof step 13 from proof del-put-again (previous step)

inodekey(m) ∈ ks, datakey(m0, m1) ∈ ri[inodekey(m), adr], datakey(m0, m1) ∈ ri ⊦ # ks = 0, ri[inodekey(m), adr][datakey(m0, m1)] = ri[datakey(m0, m1)], ks = ∅, datakey(m0, m1) ∈ ks, inodekey(m0) ∈ 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] → [datakey(m0, m1), adr, inodekey(m), ri] flags: <all paths>

Additional information

Used simplifier rules: ⊦ inodekey(m) ≠ datakey(m0, m1); (s) Used terms: datakey(m0, m1), adr, inodekey(m), ri