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Proof step 5 from proof isobj-putref (conclusion)

⊦ r ≠ rk .ref → (is_obj(r, class, sks, st[rk, refval(r)]) ↔ is_obj(r, class, sks, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ is_obj(r, class, sks, st) ↔ r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st ∧ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st))
Proof step 4:
⊦ r ≠ rk .ref → ( r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st[rk, refval(r)] ∧ (∀ sk. sk ∈ sks → goodfieldandtype(r, sk, st[rk, refval(r)])) ↔ is_obj(r, class, sks, st))

Rule argument

[crewrite-arg: isobj-all , F , [st, sks, class, r] → [st[rk, refval(r)], sks, class, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[rk, refval(r)], sks, class, r)]]