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Proof step 20 from proof okarray-put-okval-01 (previous step)

st[r0 -- _length] = intval(j), st[r0 -- _type] = typeval(mkarraytype(ty0)), is_arrayref(r0, j, st), okval(val0, ty), r0 -- _type ∈ st, ty0 ≤ ty, r0 -- _length ∈ st, 0 ≤ j, r0 ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → okval(st[r0 -- j0 '], ty) ⊦ r0 = jvmref, okreftype(refval(r0), mkarraytype(ty), st[r -- i ', val0]) ∧ is_arrayref(r0, j, st[r -- i ', val0]) ∧ (0 ≤ j0 ∧ j0 < j → okval(st[r -- i ', val0][r0 -- j0 '], ty))

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 9:
r0 -- j0 ' = r -- i ', st[r0 -- _length] = intval(j), st[r0 -- _type] = typeval(mkarraytype(ty0)), is_arrayref(r0, j, st), okval(val0, ty), r0 -- _type ∈ st, ty0 ≤ ty, r0 -- _length ∈ st, 0 ≤ j, r0 ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → okval(st[r0 -- j0 '], ty) ⊦ r0 = jvmref, okreftype(refval(r0), mkarraytype(ty), st[r -- i ', val0]) ∧ is_arrayref(r0, j, st[r -- i ', val0]) ∧ (0 ≤ j0 ∧ j0 < j → okval(st[r -- i ', val0][r0 -- j0 '], ty))
Proof step 19:
st[r0 -- _length] = intval(j), st[r0 -- _type] = typeval(mkarraytype(ty0)), is_arrayref(r0, j, st), okval(val0, ty), r0 -- _type ∈ st, ty0 ≤ ty, r0 -- _length ∈ st, 0 ≤ j, r0 ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → okval(st[r0 -- j0 '], ty) ⊦ r0 -- j0 ' = r -- i ', r0 = jvmref, okreftype(refval(r0), mkarraytype(ty), st[r -- i ', val0]) ∧ is_arrayref(r0, j, st[r -- i ', val0]) ∧ (0 ≤ j0 ∧ j0 < j → okval(st[r -- i ', val0][r0 -- j0 '], ty))

Rule argument

[fma-arg: r0 -- j0 ' = r -- i ']

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (r0 -- j0 ' = r -- i ')]]