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Proof step 8 from proof countdims-notneg (previous step)

0 ≤ i, countdims(ints, i) < 0 ⊦

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ countdims([], i) = i
Proof step 7:
∀ i. ¬ (0 ≤ i ∧ countdims(ints0, i) < 0), 0 ≤ i, countdims(i0 + ints0, i) < 0 ⊦

Rule argument

[VARWITHVARSEQSARG : ints, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : intlist generated by [], +;], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)])]]