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Proof step 10 from proof lls-fold-tail (previous step)

(r1 => x .last × r2 * lls(r0, r1, x .butlast) * P)(H) ⊦ x = [], (lls(r0, r2, x) * P)(H)

User applied rule structural induction

And obtained the following new goals

Proof step 9:
∀ r1, r2, r0, P, H. (r1 => x0 .last × r2 * lls(r0, r1, x0 .butlast) * P)(H) → x0 = [] ∨ (lls(r0, r2, x0) * P)(H), (r1 => (a + x0) .last × r2 * lls(r0, r1, (a + x0) .butlast) * P)(H) ⊦ a + x0 = [], (lls(r0, r2, a + x0) * P)(H)

Rule argument

[VARWITHVARSEQSARG : x, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : list generated by [], +;])]]