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Proof step 8 from proof okclass-03 (previous step)

⊦ sk = _type, (r = jvmref ∨ r ∈ st[r0 -- sk, val0]) ∧ (r ≠ jvmref → r -- _type ∈ st[r0 -- sk, val0] ∧ st[r -- _type] = typeval(mkclasstype(class1))) ↔ (r = jvmref ∨ r ∈ st) ∧ (r ≠ jvmref → r -- _type ∈ st ∧ st[r -- _type] = typeval(mkclasstype(class1)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ r ∈ st[r0 -- sk, val] ↔ r = r0 ∨ r ∈ st
Proof step 7:
⊦ sk = _type, (r = jvmref ∨ r = r0 ∨ r ∈ st) ∧ (r ≠ jvmref → r -- _type ∈ st[r0 -- sk, val0] ∧ st[r -- _type] = typeval(mkclasstype(class1))) ↔ (r = jvmref ∨ r ∈ st) ∧ (r ≠ jvmref → r -- _type ∈ st ∧ st[r -- _type] = typeval(mkclasstype(class1)))

Rule argument

[speclemmaarg: ,r ∈ st[r0 -- sk, val] ↔ r = r0 ∨ r ∈ st ,[val, sk, r0, st, r] → [val0, sk, r0, st, r] ,F ,storefuns , ,instore-02 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (val0, sk, r0, st, r)]]