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Proof step 39 from proof validrefs-primarray (previous step)

st[r -- _length] = intval(i), st[r -- _type] = typeval(mkarraytype(ty)), 0 ≤ i, r ∈ st, is_primtype(ty), is_arrayref(r, i, st), r -- _length ∈ st, r -- _type ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, type∃(str, st[r -- _type] .type) ∧ st[r -- _type] .type .jtelemtype ≠ void_type ∧ st[r -- _type] .type .jtelemtype ≠ abstract_type ∧ is_array(r, st), is_reftype(ty)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 38:
st[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i), r -- _type ∈ st, r -- _length ∈ st, is_arrayref(r, i, st), is_primtype(ty), r ∈ st, 0 ≤ i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, ty = abstract_type, ty = void_type, is_reftype(ty), is_array(r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_primtype(abstract_type)], [CSIMPSEQ : ⊦ ¬ is_primtype(void_type)], [CSIMPSEQ : ⊦ is_primtype(ty) → ty .jtelemtype = ty], [CSIMPSEQ : ⊦ mkarraytype(ty) .jtelemtype = ty .jtelemtype], [CSIMPSEQ : ⊦ is_primtype(ty) → type∃(str, ty)], [CSIMPSEQ : ⊦ type∃(str, mkarraytype(ty)) ↔ type∃(str, ty)], [CSIMPSEQ : ⊦ typeval(ty) .type = ty])]]