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Proof step 14 from proof validref-primarray (previous step)

st[r -- _type] .type = mkarraytype(ty0), st[r -- _length] = intval(i), 0 ≤ i, r ∈ st, junkrefs(str, r ' + refs0, st[r -- _type] .type, st), is_primtype(ty), is_arrayref(r, i, st), r -- _length ∈ st, r -- _type ∈ st, is_typevalue(st[r -- _type]), is_arraytype(st[r -- _type] .type), ty0 ≤ ty, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, st[r -- _type] .type = mkarraytype(ty)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
st[r -- _length] = intval(i), st[r -- _type] .type = mkarraytype(ty0), ty0 ≤ ty, is_typevalue(st[r -- _type]), r -- _type ∈ st, r -- _length ∈ st, is_arrayref(r, i, st), is_primtype(ty), junkrefs(str, r ' + refs0, mkarraytype(ty0), st), r ∈ st, 0 ≤ i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, ty0 = ty

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ mkarraytype(ty) = mkarraytype(ty0) ↔ ty = ty0])]]