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Proof step 20 from proof okarray-okarray (previous step)

st[r -- _type] .type = mkarraytype(ty0), st[r -- _length] = intval(st[r -- _length] .intval), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_arraytype(st[r -- _type] .type), ty0 ≤ ty, r -- _length ∈ st, is_arrayref(r, st[r -- _length] .intval, st), r ∈ st, 0 ≤ st[r -- _length] .intval, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → okval(st[r -- j0 '], ty) ⊦ r = jvmref, okreftype(refval(r), mkarraytype(ty), st) ∧ is_integervalue(st[r -- _length]) ∧ (0 ≤ j ∧ j < st[r -- _length] .intval → okval(st[r -- j '], ty))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
st[r -- _length] = intval(st[r -- _length] .intval), st[r -- _type] .type = mkarraytype(ty0), 0 ≤ st[r -- _length] .intval, r ∈ st, is_arrayref(r, st[r -- _length] .intval, st), r -- _length ∈ st, ty0 ≤ ty, is_typevalue(st[r -- _type]), r -- _type ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → okval(st[r -- j0 '], ty) ⊦ r = jvmref, okreftype(refval(r), mkarraytype(ty), st) ∧ is_integervalue(st[r -- _length]) ∧ (0 ≤ j ∧ j < st[r -- _length] .intval → okval(st[r -- j '], ty))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))])]]