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Proof step 10 from proof ri-cons-drop (previous step)

key-cons(key, fs[ri[key]]), ri[key] ∈ fs, key ∈ ri, ∀ adr. ¬ adr ∈ as ∩ range ri ⊦ key-cons(key, (fs \ as)[ri[key]])

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store+set, inst: node-store name: Diff-get seq: ⊦ ¬ adr ∈ as → (fs \ as)[adr] = fs[adr] subst: [adr, as, fs] → [ri[key], as, fs] flags: <all paths>

Additional information

Used terms: ri[key], as, fs