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Proof step 45 from proof putarray-add-same (previous step)

r ≠ r0 ∨ r = r0 ∧ is_fskey(sk) ∧ sk ≠ _length ∧ sk ≠ _type ∨ r = r0 ∧ is_indexkey(sk) ∧ (sk .index < 0 ∨ n→i(# vals) ≤ sk .index) ⊦ (putArray(vals, r, 0, addarray(r, ty, n→i(# vals), st))[r0 -- sk]) = st[r0 -- sk]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
⊦ r ≠ r0 → (addarray(r, ty, i, st)[r0 -- sk]) = st[r0 -- sk]
Proof step 44:
is_indexkey(sk) ∧ (sk .index < 0 ∨ n→i(# vals) ≤ sk .index) ∨ is_fskey(sk) ∧ sk ≠ _length ∧ sk ≠ _type ⊦ (putArray(vals, r0, 0, addarray(r0, ty, n→i(# vals), st))[r0 -- sk]) = st[r0 -- sk]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → (putArray(vals, r, j, st) [r0 -- sk ] ) = st[r0 -- sk]])]]