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Proof step 10 from proof okarray-length-01 (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, ∀ j. ¬ j < 0 ∧ ¬ st[r -- _length] .intval ≤ j → okval(st[r -- j '], ty) ⊦ val2int(st[r -- _length]) = st[r -- _length] .intval, r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
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, ∀ j. ¬ j < 0 ∧ ¬ st[r -- _length] .intval ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, val2int(st[r -- _length]) = st[r -- _length] .intval

Rule argument

[emptyarg]

Additional information

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