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Proof step 13 from proof validrefkeynotnull-addarray (previous step)

newref(r1, st), rk ∈ st, validrefvalnotnull(str, st[rk], ty1, st) ⊦ r1 = jvmref, is_referencevalue(addarray(r1, ty, vals, st)[rk]) ∧ validrefnotnull(str, (addarray(r1, ty, vals, st)[rk]) .refval, ty1, addarray(r1, ty, vals, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ validrefvalnotnull(str, val, ty, st) ↔ is_referencevalue(val) ∧ validrefnotnull(str, val .refval, ty, st)
Proof step 12:
newref(r1, st), rk ∈ st, is_referencevalue(st[rk]) ∧ validrefnotnull(str, st[rk] .refval, ty1, st) ⊦ r1 = jvmref, is_referencevalue(addarray(r1, ty, vals, st)[rk]) ∧ validrefnotnull(str, (addarray(r1, ty, vals, st)[rk]) .refval, ty1, addarray(r1, ty, vals, st))

Rule argument

[crewrite-arg: validrefvalnotnull-def , F , [st, ty, val, str] → [st, ty1, st[rk], str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty1, st[rk], str)]]