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Proof step 10 from proof at-1dim-other (previous step)

is_indexkey(sk) ∧ (sk .index < 0 ∨ j ≤ sk .index) ∨ is_fskey(sk) ∧ sk ≠ _length ∧ sk ≠ _type ⊦ (addarray(r0, ty, j, st)[r0 -- sk]) = st[r0 -- sk], ¬ is_indexkey(sk) ∧ sk ≠ _type ∧ sk ≠ _length

User applied rule case distinction

And obtained the following new goals

Proof step 8:
is_indexkey(sk) ∧ (sk .index < 0 ∨ j ≤ sk .index) ⊦ (addarray(r0, ty, j, st)[r0 -- sk]) = st[r0 -- sk], ¬ is_indexkey(sk) ∧ sk ≠ _type ∧ sk ≠ _length
Proof step 9:
⊦ 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 : ()]]