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Proof step 13 from proof ll-trav1-end (conclusion)

r1 ≠ null ⊦ H[r1] = a × null → (¬ ¬ (ll-trav(r0, r1, x) * P)(H) ↔ x ≠ [] ∧ (∃ y. x = y + a ∧ (lls(r0, r1, y) * r1 => a × null * P)(H)))

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : ll-trav1-def, , , ⊦ (ll-trav(r0, r1, x) * P)(H) ↔ (∃ x0, x1. x = x0 + x1 ∧ ( lls(r0, r1, x0) * lls(r1, null, x1) * P )(H))], [CSIMPSEQ : ⊦ x + a = x + a '], [CSIMPSEQ : ⊦ P0 * P1 = P1 * P0], [CSIMPSEQ : ⊦ (P0 * P1) * P2 = P0 * P1 * P2])]]