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Proof step 3 from proof referenced-adrs-lookup-key-cons (previous step)

ri-cons(ri, fs) ⊦ key-cons(fs[referenced-adrs(ax, ri)])

User applied rule structural induction

And obtained the following new goals

Proof step 4:
ri-cons(ri, fs), ∀ ri, fs. ri-cons(ri, fs) → key-cons(fs[referenced-adrs(ax0, ri)]) ⊦ key-cons(fs[referenced-adrs(adr + ax0, ri)])

Rule argument

indvar: ax

Additional information

Used simplifier rules: referenced-adrs-base: ⊦ referenced-adrs([], ri) = [];%key-cons-base: ⊦ key-cons([]);%address-list freely generated by [], +;;% ⊦ fs[[]] = []; (s)