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Proof step 1 from proof key-in-update-index (conclusion)

⊦ # kx = # ax → (key ∈ ri[kx, ax] ↔ key ∈ ri ∨ key ∈ kx)

System applied rule normalize

And obtained the following new goals

Proof step 2:
# kx = # ax ⊦ key ∈ ri[kx, ax] ↔ key ∈ ri ∨ key ∈ kx

Rule argument

Additional information