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Proof step 4 from proof lls-unfold-head-simp (conclusion)

r0 ≠ r2 ⊦ H[r0] = ce → (¬ ¬ (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 3:
⊦ r0 = r2, (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 : ()]]