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Proof step 4 from proof getdims-posints-01 (previous step)

posints(getdims(ints0)) ⊦ posints(getdims(i ' + ints0))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 0 < j → getdims(j ' + ints) = j ' + getdims(ints)
Proof step 3:
⊦ j ≤ 0 → getdims(j ' + ints) = 0 '

Rule argument

[crewrite-arg: getdims-rec, F, [ints, j] → [ints0, i]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ posints(i ') ↔ 0 ≤ i], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ posints(i ' + ints) ↔ 0 ≤ i ∧ posints(ints)], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i < j → ¬ j < i], [CSIMPSEQ : ⊦ (ints + ints0) + ints1 = ints + ints0 + ints1])], [EXTRATERMS : (ints0, i)]]