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Proof step 93 from proof validrefs-lastelem (previous step)

st[r0 -- _type] .type = mkarraytype(ty0), st[r0 -- i '] = refval(r1), r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), is_arraytype(st[r0 -- _type] .type), okarray(r0, ty0, st), 0 ≤ i, 0 < st[r0 -- _length] .intval, is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, i < st[r0 -- _length] .intval, r0 ∈ st, r1 = jvmref ∨ is_valid_ref(str, r1, st) ∧ st[r1 -- _type] .type = ty0 ⊦ ty0 = void_type, r0 = jvmref, is_reftype(ty0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 92:
st[r0 -- i '] = refval(jvmref), st[r0 -- _type] .type = mkarraytype(ty0), r0 ∈ st, i < st[r0 -- _length] .intval, mkarraytype(ty0) ≤ ty, is_array(str, r0, st), 0 < st[r0 -- _length] .intval, 0 ≤ i, okarray(r0, ty0, st), is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st ⊦ r0 = jvmref, ty0 = void_type, is_reftype(ty0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ ¬ is_reftype (st[r -- _type] .type) → ¬ is_valid_ref(str, r, st)])]]