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Proof step 12 from proof index-update-adr-in (previous step)

# kx0 = # ax1, adr ∈ ri[key, adr1][kx0, ax1] ↔ adr ∈ ax1 ∨ adr ∈ ri[key, adr1] \ kx0.toSet, adr ∈ ri[key, adr1][kx0, ax1] ⊦ adr = adr1, dups(kx0), key ∈ kx0, adr ∈ ax1, adr ∈ (ri \ kx0.toSet) -- key

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information