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Proof step 16 from proof lls-unfold-tail (previous step)

⊦ lls(r0, r2, x + a ')(H) ↔ (∃ r. (lls(r0, r, x) * r => a × r2)(H))

User applied rule cut formula

And obtained the following new goals

Proof step 1:
∀ P. (lls(r0, r2, x + a ') * P)(H) ↔ (∃ r. (lls(r0, r, x) * r => a × r2 * P)(H)) ⊦ lls(r0, r2, x + a ')(H) ↔ (∃ r. (lls(r0, r, x) * r => a × r2)(H))

Rule argument

[fma-arg: ∀ P. (lls(r0, r2, x + a ') * P)(H) ↔ (∃ r. (lls(r0, r, x) * r => a × r2 * P)(H)) ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (∀ P. (lls(r0, r2, x + a ') * P)(H) ↔ (∃ r. (lls(r0, r, x) * r => a × r2 * P)(H)))]]