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Proof step 3 from proof validref-put-array-refval-03 (previous step)

st[r0 -- _type] .type = mkarraytype(ty0), validref(str, r, ty, st), validref(str, r1, ty0, st), r1 = jvmref → is_reftype(ty0) ⊦ r0 = jvmref, validref(str, r, ty, st[r0 -- i ', refval(r1)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validref(str, r, ty0, st) ∧ validref(str, val .refval, st[r0 -- _type] .type .type, st) ∧ is_referencevalue(val) ∧ r0 ≠ jvmref ∧ is_arraytype(st[r0 -- _type] .type) ∧ (val .refval = jvmref → is_reftype(st[r0 -- _type] .type .type)) → validref(str, r, ty0, st[r0 -- i ', val])

Rule argument

[crewrite-arg: validref-put-array-refval-02 , F , [val, i, r0, st, ty0, r, str] → [refval(r1), i, r0, st, ty, r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ mkarraytype(ty) .type = ty], [CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))])], [EXTRATERMS : (refval(r1), i, r0, st, ty, r, str)]]