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Proof step 7 from proof update-index-data-notin (previous step)

# kx0 = # ax0, adr ∈ ri[key, adr0][kx0, ax0], ∀ ax, adr, ri. # ax0 = # ax ∧ adr ∈ ri[kx0, ax] → adr ∈ ax ∨ adr ∈ ri ⊦ adr = adr0, adr ∈ ri, adr ∈ ax0

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: ax0, adr, ri[key, adr0]

Additional information

Used simplifier rules: ⊦ adr ≠ adr0 ∧ ¬ adr ∈ ri → ¬ adr ∈ ri[key, adr0]; (s) Used terms: ax0, adr, ri[key, adr0]