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Proof step 7 from proof countdims-zero-03 (previous step)

countdims(ints, i) = 0, 0 < i ⊦

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ countdims([], i) = i
Proof step 6:
∀ i. ¬ (countdims(ints0, i) = 0 ∧ 0 < i), countdims(i0 + ints0, i) = 0, 0 < i ⊦

Rule argument

[VARWITHVARSEQSARG : ints, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : intlist generated by [], +;], [CSIMPFORWARD : ⊦ i < i0 ∧ i = i1 → i1 < i0])]]