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Proof step 13 from proof validrefs-applast-array-null (previous step)

st[r -- _type] .type = mkarraytype(ty0), okarray(r, ty0, st), is_typevalue(st[r -- _type]), r -- _type ∈ st, i < st[r -- _length] .intval, is_reftype(ty0), 0 ≤ i, 0 < st[r -- _length] .intval, r ∈ st, validrefs(str, refs + r ', ty, st), type∃(str, ty0) ⊦ ty0 .jtelemtype = abstract_type, ty0 .jtelemtype = void_type, r = jvmref, validrefs(str, refs + r ' + jvmref ', ty, st), is_referencevalue(st[r -- i '])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
st[r -- _type] = typeval(ty1), ty1 = mkarraytype(ty0), okarray(r, ty0, st), is_typevalue(st[r -- _type]), r -- _type ∈ st, i < st[r -- _length] .intval, is_reftype(ty0), 0 ≤ i, 0 < st[r -- _length] .intval, r ∈ st, validrefs(str, refs + r ', ty, st), type∃(str, ty0) ⊦ ty0 .jtelemtype = abstract_type, ty0 .jtelemtype = void_type, r = jvmref, validrefs(str, refs + r ' + jvmref ', ty, st), is_referencevalue(st[r -- i '])

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r -- _type], ty1] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r -- _type], ty1)]]