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Proof step 10 from proof putAr-get-other (previous step)

i→n(i) + # vals ≤ i→n(j), 0 ≤ i ⊦ (putArray(vals, r, i, st)[r -- j ']) = st[r -- j ']

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ putArray([], r, i, st) = st
Proof step 9:
∀ i, j, r, st. i→n(i) + # vals0 ≤ i→n(j) ∧ 0 ≤ i → (putArray(vals0, r, i, st)[r -- j ']) = st[r -- j '], i→n(i) + # (val + vals0) ≤ i→n(j), 0 ≤ i ⊦ (putArray(val + vals0, r, i, st)[r -- j ']) = st[r -- j ']

Rule argument

[VARWITHVARSEQSARG : vals, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : javavalues generated by [], +;])]]