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Proof step 4 from proof addarrays-auto-22 (previous step)

⊦ addarrays(r ' + r0 ' + r1 ', ty, 2 ' + 2 ', 0, st) = addarray(r, mkarraytype(ty), refval(r0) ' + refval(r1) ', addarray(r0, ty, 2, addarray(r1, ty, 2, st))), 3 = countrefs(2 ' + 2 ')

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ # ints > 1 ∧ ints .first > 0 → countrefs(ints) = 1 + ints .first * countrefs(ints .rest)
Proof step 3:
⊦ countrefs(i ') = 1

Rule argument

[crewrite-arg: countrefs-rec, F, [ints] → [2 ' + 2 ']]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (i ' + ints) .rest = ints], [CSIMPSEQ : ⊦ # (ints + ints0) = # ints + # ints0], [CSIMPSEQ : ⊦ # i ' = 0 +1], [CSIMPSEQ : ⊦ (ints + ints0) + ints1 = ints + ints0 + ints1], [CSIMPSEQ : ⊦ (i ' + ints) .first = i])], [EXTRATERMS : (2 ' + 2 ')]]