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Proof step 9 from proof putAr-get-other-01 (previous step)

0 ≤ i, # vals0 + i→n(i) < i→n(j), ∀ i0, j0, r0, st0, r2. ¬ i→n(j0) < i→n(i0) + # vals0 ∧ ¬ i0 < 0 → (putArray(vals0, r0, i0, st0)[r2 -- j0 ']) = st0[r2 -- j0 '] ⊦ j = i, j = 0, (putArray(vals0, r, i + 1, st)[r -- i ', val][r -- j ']) = st[r -- j ']

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 8:
0 ≤ i, # vals0 + i→n(i) < i→n(j), ∀ i0, j0, r0, st0, r2. ¬ i→n(j0) < i→n(i0) + # vals0 ∧ ¬ i0 < 0 → (putArray(vals0, r0, i0, st0)[r2 -- j0 ']) = st0[r2 -- j0 '] ⊦ r -- j ' = r -- i ', j = i, j = 0, (putArray(vals0, r, i + 1, st)[r -- i ', val][r -- j ']) = st[r -- j ']

Rule argument

[fma-arg: r -- j ' = r -- i ']

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0])], [EXTRAFMAS : (r -- j ' = r -- i ')]]