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Proof step 37 from proof validrefs-primarray (previous step)

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), r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ okarray(r, st[r -- _type] .type .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 36:
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) ⊦ ty = void_type, ty = abstract_type, r = jvmref, is_reftype(ty), okarray(r, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkarraytype(ty) .type = ty], [CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ is_typevalue(typeval(ty))])]]