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Proof step 24 from proof getarray-subset-02 (previous step)

st[r -- _type] .type = mkarraytype(ty), r ∈ st, 0 ≤ i, i + j ≤ st[r -- _length] .intval, okarray(r, ty, st), is_arraytype(st[r -- _type] .type), is_typevalue(st[r -- _type]), r -- _type ∈ st, st ⊆ st0 ⊦ r = jvmref, getarray(r, i, j, st) = getarray(r, i, j, st0), is_arrayref(r, i + j, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
⊦ st ⊆ st0 ∧ okarray(r, ty, st) → okarray(r, ty, st0)
Proof step 7:
⊦ okarray(r, ty, st) ∧ st ⊆ st0 → okarray(r, ty, st0)
Proof step 23:
st[r -- _type] .type = mkarraytype(ty), st ⊆ st0, r -- _type ∈ st, is_typevalue(st[r -- _type]), okarray(r, ty, st), i + j ≤ st[r -- _length] .intval, 0 ≤ i, r ∈ st ⊦ getarray(r, i, j, st) = getarray(r, i, j, st0), r = jvmref, is_arrayref(r, i + j, st)

Rule argument

[emptyarg]

Additional information

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