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Proof step 9 from proof lls-unfold-head (conclusion)

x ≠ [] ⊦ (lls(r0, r2, x) * P)(H) ↔ (∃ a, y, r1. (r0 => a × r1 * lls(r1, r2, y) * P)(H) ∧ x = a ' + y)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
⊦ x = [], (lls(r0, r2, x) * P)(H) ↔ (∃ a, y, r1. (r0 => a × r1 * lls(r1, r2, y) * P)(H) ∧ x = a ' + y)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]