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Proof step 4 from proof addarray-mklist-05 (previous step)

⊦ addarray(r, ty, [], st) = (st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(0)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ addarray(r, ty, vals, st) = addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals))])
Proof step 3:
⊦ addarray(r, [], i, st) = st

Rule argument

[crewrite-arg: addarrayinit-def , F , [st, vals, ty, r] → [st, [], ty, r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ # [] = 0])], [EXTRATERMS : (st, [], ty, r)]]