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Proof step 19 from proof subset-exactarray (previous step)

st[r -- _length] = intval(i), st[r -- _type] = typeval(mkarraytype(ty)), st0[r -- _length] = intval(i), r ∈ st0, r -- _length ∈ st0, 0 ≤ i, r ∈ st, r -- _type ∈ st, is_arrayref(r, i, st), r -- _length ∈ st, ∀ rk. rk ∈ st → rk ∈ st0 ∧ st[rk] = st0[rk] ⊦ r = jvmref, is_arrayref(r, i, st0) ∧ exactreftype(refval(r), mkarraytype(ty), st0)

User applied rule all left

And obtained the following new goals

Proof step 18:
st[r -- _length] = intval(i), st[r -- _type] = typeval(mkarraytype(ty)), st0[r -- _length] = intval(i), r ∈ st0, r -- _length ∈ st0, 0 ≤ i, r ∈ st, r -- _type ∈ st, is_arrayref(r, i, st), r -- _length ∈ st, r -- _type ∈ st → r -- _type ∈ st0 ∧ st[r -- _type] = st0[r -- _type], ∀ rk. rk ∈ st → rk ∈ st0 ∧ st[rk] = st0[rk] ⊦ r = jvmref, is_arrayref(r, i, st0) ∧ exactreftype(refval(r), mkarraytype(ty), st0)

Rule argument

[EXRARG : pos: left 11, [extquanttermlist: (r -- _type) abort:F , discard:F , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r -- _type)]]