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Proof step 2 from proof index-update-append1 (previous step)

# ax = # kx ⊦ ri[kx + key ', ax + adr '] = ri[kx, ax][key, adr]

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: a: ⊦ (kx + kx0) + kx1 = kx + kx0 + kx1; from specification list[key-list-set]%a: ⊦ (ax + ax0) + ax1 = ax + ax0 + ax1; from specification list[address-list-set]%# kx = # ax ⊦ ri[kx + key ', ax + adr '] = ri[kx, ax][key, adr]; (s)