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Proof step 9 from proof add-at-other (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ is_fskey(sk) ∧ sk ≠ _length ∧ sk ≠ _type → (addarray(r, ty, vals, st)[r0 -- sk]) = st[r0 -- sk]
Proof step 8:
¬ (is_fskey(sk) ∧ sk ≠ _length ∧ sk ≠ _type), is_indexkey(sk) ∧ (sk .index < 0 ∨ n→i(# vals) ≤ sk .index) ∨ is_fskey(sk) ∧ sk ≠ _length ∧ sk ≠ _type ⊦ (addarray(r0, ty, vals, st)[r0 -- sk]) = st[r0 -- sk]

Rule argument

[crewrite-arg: add-at-04 , F , [sk, r0, st, vals, ty, r] → [sk, r0, st, vals, ty, r0] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (sk, r0, st, vals, ty, r0)]]