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Proof step 11 from proof subset-exactarray (previous step)

st[r -- _type] = typeval(mkarraytype(ty)), st0[r -- _length] = intval(i), st0[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i), j < i, r -- _type ∈ st0, r -- _length ∈ st, r -- _type ∈ st, r ∈ st, 0 ≤ i, r -- _length ∈ st0, r ∈ st0, 0 ≤ j, 0 < i, ∀ rk. rk ∈ st → rk ∈ st0 ∧ st[rk] = st0[rk], ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → r -- j0 ' ∈ st ⊦ r = jvmref, r -- j ' ∈ st0

User applied rule all left

And obtained the following new goals

Proof step 10:
st[r -- _type] = typeval(mkarraytype(ty)), st0[r -- _length] = intval(i), st0[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i), j < i, r -- _type ∈ st0, r -- _length ∈ st, r -- _type ∈ st, r ∈ st, 0 ≤ i, r -- _length ∈ st0, r ∈ st0, 0 ≤ j, 0 < i, ∀ rk. rk ∈ st → rk ∈ st0 ∧ st[rk] = st0[rk], ¬ j < 0 ∧ ¬ i ≤ j → r -- j ' ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → r -- j0 ' ∈ st ⊦ r = jvmref, r -- j ' ∈ st0

Rule argument

[EXRARG : pos: left 16, [extquanttermlist: (j)abort:F, discard:F, computed:F]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (j)]]