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Proof step 63 from proof addobj-addclass-sw (previous step)

⊦ r = jvmref, r0 = r, (r0 -- sk ∈ addclass(class0, fis0, st) ↔ r0 -- sk ∈ addclass(class0, fis0, addobj(r, class, fis, st))) ∧ (addclass(class0, fis0, st)[r0 -- sk]) = (addclass(class0, fis0, addobj(r, class, fis, st))[r0 -- sk])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 21:
r ≠ jvmref ⊦ r -- sk ∈ addclass(class1, fis, st) ↔ r -- sk ∈ st
Proof step 56:
¬ r0 ≠ jvmref ⊦ r = jvmref, r0 = r, (r0 -- sk ∈ addclass(class0, fis0, st) ↔ r0 -- sk ∈ addclass(class0, fis0, addobj(r, class, fis, st))) ∧ (addclass(class0, fis0, st)[r0 -- sk]) = (addclass(class0, fis0, addobj(r, class, fis, st))[r0 -- sk])
Proof step 62:
r0 ≠ jvmref ⊦ r = jvmref, r0 = r, (r0 -- sk ∈ st ↔ r0 -- sk ∈ addclass(class0, fis0, addobj(r, class, fis, st))) ∧ (addclass(class0, fis0, st)[r0 -- sk]) = (addclass(class0, fis0, addobj(r, class, fis, st))[r0 -- sk])

Rule argument

[crewrite-arg: ac-in-03-02 , F , [st, fis, class1, sk, r] → [st, fis0, class0, sk, r0] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, fis0, class0, sk, r0)]]