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Proof step 46 from proof addarrays-auto-22 (previous step)

n→i(# refs) = countrefs(2 ' + 2 ') ⊦ # refs = 3, addarrays(refs, ty, 2 ' + 2 ', 0, st) = st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 44:
⊦ # ints > 1 ∧ ints .first > 0 → countrefs(ints) = 1 + ints .first * countrefs(ints .rest)
Proof step 45:
⊦ countrefs(i ') = 1

Rule argument

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

Additional information

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