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Proof step 42 from proof getarray-subset (previous step)

st0[r -- _type] .type = mkarraytype(ty0), st[r -- _type] = typeval(mkarraytype(ty)), is_arrayref(r, st0[r -- _length] .intval, st0), r ∈ st, n < # getarray(r, st0), st ⊆ st0, okarray(r, ty, st), r -- _type ∈ st, r -- _length ∈ st, n < i→n(st0[r -- _length] .intval), r -- _type ∈ st0, is_typevalue(st0[r -- _type]), is_arraytype(st0[r -- _type] .type), ty0 ≤ ty, r -- _length ∈ st0, is_integervalue(st0[r -- _length]), 0 < st0[r -- _length] .intval, r ∈ st0, ∀ j. ¬ j < 0 ∧ ¬ st0[r -- _length] .intval ≤ j → oktype(st0[r -- j '], ty, st0) ⊦ noval = st0[r -- n→i(n) '], st0[r -- _length] .intval = 0, getarray(r, st0) = [], r = jvmref, r -- n→i(n) ' ∈ st

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 41:
st[r -- _type] = typeval(mkarraytype(ty)), st0[r -- _type] .type = mkarraytype(ty0), r ∈ st0, 0 < st0[r -- _length] .intval, is_integervalue(st0[r -- _length]), r -- _length ∈ st0, ty0 ≤ ty, is_typevalue(st0[r -- _type]), r -- _type ∈ st0, n < i→n(st0[r -- _length] .intval), r -- _length ∈ st, r -- _type ∈ st, okarray(r, ty, st), st ⊆ st0, n < # getarray(r, st0), r ∈ st, is_arrayref(r, st0[r -- _length] .intval, st0), ∀ j. ¬ j < 0 ∧ ¬ st0[r -- _length] .intval ≤ j → oktype(st0[r -- j '], ty, st0) ⊦ r = jvmref, getarray(r, st0) = [], st0[r -- _length] .intval = 0, noval = st0[r -- n→i(n) '], r -- n→i(n) ' ∈ st

Rule argument

[emptyarg]

Additional information

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