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Proof step 3 from proof okarray-update-01 (previous step)

⊦ r = val .refval, okarray(val, ty, i, update(r, fis, st)) ↔ okarray(val, ty, i, st)

User applied rule insert elim lemma

And obtained the following new goals

Proof step 1:
⊦ ¬ is_referencevalue(val) → ¬ okarray(val, ty, i, st)
Proof step 2:
⊦ r ≠ r0 → (okarray(refval(r), ty, i, update(r0, fis, st)) ↔ okarray(refval(r), ty, i, st))

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [val, r0] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_referencevalue(val) → val .refval = jvmref], [CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (val, r0)]]