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Proof step 13 from proof isarray-subset (previous step)

st[r -- _type] .type = mkarraytype(ty), okarray(r, ty, st1), r ∈ st, st ⊆ st1, okarray(r, ty, st), is_arraytype(st[r -- _type] .type), is_typevalue(st[r -- _type]), r -- _type ∈ st, r ∈ st1 ⊦ r = jvmref, is_array(r, st1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ st ⊆ st0 ∧ okarray(r, ty, st) → okarray(r, ty, st0)
Proof step 12:
st[r -- _type] .type = mkarraytype(ty), okarray(r, ty, st1), r ∈ st1, r -- _type ∈ st, is_typevalue(st[r -- _type]), okarray(r, ty, st), st ⊆ st1, r ∈ st ⊦ r = jvmref, is_array(r, st1)

Rule argument

[emptyarg]

Additional information

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