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Proof step 12 from proof putar-rew (previous step)

r0 ≠ r ∨ is_fskey(sk) ∨ sk .index < j ∨ n→i(# vals) + j ≤ sk .index ⊦ (putArray(vals, r, j, st)[r0 -- sk, val]) = putArray(vals, r, j, st[r0 -- sk, val])

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ putArray([], r, i, st) = st
Proof step 11:
∀ r0, r, sk, j, st, val. r0 ≠ r ∨ is_fskey(sk) ∨ sk .index < j ∨ n→i(# vals0) + j ≤ sk .index → (putArray(vals0, r, j, st)[r0 -- sk, val]) = putArray(vals0, r, j, st[r0 -- sk, val]) ⊦ r0 ≠ r ∨ is_fskey(sk) ∨ sk .index < j ∨ n→i(# (val + vals0)) + j ≤ sk .index → (putArray(val + vals0, r, j, st)[r0 -- sk, val0]) = putArray(val + vals0, r, j, st[r0 -- sk, val0])

Rule argument

[VARWITHFMAVARSARG : vals, ()]

Additional information

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