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Proof step 8 from proof in-1dim-other-index (previous step)

r -- i ' ∈ addarray(r, ty, j, st), i < 0 ∨ j ≤ i ⊦ r -- i ' ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ addarray(r, ty, i, st) = addarray(r, initial_value(ty), i, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)])
Proof step 7:
r -- i ' ∈ addarray(r, initial_value(ty), j, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(j)]), i < 0 ∨ j ≤ i ⊦ r -- i ' ∈ st

Rule argument

[crewrite-arg: addarray-def, F, [st, i, ty, r] → [st, j, ty, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, j, ty, r)]]