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Proof step 6 from proof validrefkeynotnull-addobj (previous step)

validrefvalnotnull(str, st[rk], ty1, st), rk ∈ st, newref(r1, st) ⊦ r1 = jvmref, validrefkeynotnull(str, rk, ty1, addobj(r1, class, fis, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validrefkeynotnull(str, rk, ty, st) ↔ rk ∈ st ∧ validrefvalnotnull(str, st[rk], ty, st)
Proof step 5:
validrefvalnotnull(str, st[rk], ty1, st), rk ∈ st, newref(r1, st) ⊦ r1 = jvmref, rk ∈ addobj(r1, class, fis, st) ∧ validrefvalnotnull(str, addobj(r1, class, fis, st)[rk], ty1, addobj(r1, class, fis, st))

Rule argument

[crewrite-arg: validrefkeynotnull-def , F , [st, ty, rk, str] → [addobj(r1, class, fis, st), ty1, rk, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addobj(r1, class, fis, st), ty1, rk, str)]]