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Proof step 6 from proof validref-isarrayref (previous step)

i ≤ st[r -- _length] .intval, validref(str, r, mkarraytype(ty), st), is_valid_ref(str, r, st), is_arraytype(st[r -- _type] .type), st[r -- _type] .type .type ≤ ty ⊦ r = jvmref, is_arrayref(r, i, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 5:
st[r -- _type] .type = mkarraytype(ty0), i ≤ st[r -- _length] .intval, validref(str, r, mkarraytype(ty), st), is_valid_ref(str, r, st), is_arraytype(st[r -- _type] .type), ty0 ≤ ty ⊦ r = jvmref, is_arrayref(r, i, st)

Rule argument

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

Additional information

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