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Proof step 4 from proof validref-put-array-refval-02 (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 3:
st[r0 -- _type] .type = mkarraytype(ty), is_arraytype(st[r0 -- _type] .type), validref(str, r1, ty, st), validref(str, r, ty0, st), r1 = jvmref → is_reftype(ty) ⊦ r0 = jvmref, validref(str, r, ty0, st[r0 -- i ', refval(r1)])

Rule argument

[speclemmaarg: ,is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) ,[ty, ty0] → [st[r0 -- _type] .type, ty] ,T ,javatype , ,elim-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (st[r0 -- _type] .type, ty)]]