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Proof step 44 from proof putarray-add-same (previous step)

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]

User applied rule case distinction

And obtained the following new goals

Proof step 42:
is_indexkey(sk) ∧ (sk .index < 0 ∨ n→i(# vals) ≤ sk .index) ⊦ (putArray(vals, r0, 0, addarray(r0, ty, n→i(# vals), st))[r0 -- sk]) = st[r0 -- sk]
Proof step 43:
⊦ is_fskey(sk) ∧ sk ≠ _type ∧ sk ≠ _length → (addarray(r, ty, i, st)[r0 -- sk]) = st[r0 -- sk]

Rule argument

[CASEDARG : pos: left 1, ()]

Additional information

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