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Proof step 20 from proof instore-afterputs (previous step)

instore(r, class, (sk × val) ' + fis, st), unique_al(fis) ⊦ instore(r, class, fis, st[r -- sk, refval(r1)]), _type = sk, _type ∈ fis, sk ∈ fis

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ instore(r, class, (sk × val) ' + fis, st) ↔ (r -- sk) × val ∈ st ∧ instore(r, class, fis, st)
Proof step 19:
(r -- sk) × val ∈ st ∧ instore(r, class, fis, st), unique_al(fis) ⊦ instore(r, class, fis, st[r -- sk, refval(r1)]), _type = sk, _type ∈ fis, sk ∈ fis

Rule argument

[crewrite-arg: instore-rec-02 , F , [st, fis, val, sk, class, r] → [st, fis, val, sk, class, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, fis, val, sk, class, r)]]