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Proof step 14 from proof validrefs-applast-array-null (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
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 '])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ type∃(str, mkarraytype(ty)) ↔ type∃(str, ty)])]]