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Proof step 12 from proof inst-single (previous step)

⊦ instore(r, class, (sk × val) + [], st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ st[r -- _type] = typeval(mkclasstype(class)) ∧ r -- sk ∈ st ∧ st[r -- sk] = val

User applied rule insert lemma

And obtained the following new goals

Proof step 2:
⊦ instore(r, class, (sk × val) ' + fis, st) ↔ (r -- sk) × val ∈ st ∧ instore(r, class, fis, st)
Proof step 11:
instore(r, class, (sk × val) ' + [], st) ↔ (r -- sk) × val ∈ st ∧ instore(r, class, [], st) ⊦ instore(r, class, (sk × val) + [], st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ st[r -- _type] = typeval(mkclasstype(class)) ∧ r -- sk ∈ st ∧ st[r -- sk] = val

Rule argument

[LEMMAARG : instore-rec-02, [r, class, sk, val, fis, st] → [r, class, sk, val, [], st]]

Additional information

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