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Proof step 17 from proof validrefkeynotnull-addarray (previous step)

newref(r1, st), validrefkeynotnull(str, rk, ty1, st) ⊦ r1 = jvmref, validrefkeynotnull(str, rk, ty1, addarray(r1, ty, vals, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validrefkeynotnull(str, rk, ty, st) ↔ rk ∈ st ∧ validrefvalnotnull(str, st[rk], ty, st)
Proof step 16:
newref(r1, st), validrefkeynotnull(str, rk, ty1, st) ⊦ r1 = jvmref, rk ∈ addarray(r1, ty, vals, st) ∧ validrefvalnotnull(str, addarray(r1, ty, vals, st)[rk], ty1, addarray(r1, ty, vals, st))

Rule argument

[crewrite-arg: validrefkeynotnull-def , F , [st, ty, rk, str] → [addarray(r1, ty, vals, st), ty1, rk, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addarray(r1, ty, vals, st), ty1, rk, str)]]