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Proof step 4 from proof tr-fold (conclusion)

⊦ (r => mknode(r0, a, r1) * tr(r0, t0) * tr(r1, t1) * P)(H) → (¬ (tr(r, branch(t0, a, t1)) * P)(H) ↔ false)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ tr(r, branch(t0, a, t1)) = _∃ λ r0, r1. r => mknode(r0, a, r1) * tr(r0, t0) * tr(r1, t1)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: tr-rec antecedent: succedent: tr(r, branch(t0, a, t1)) = _∃ λ r0, r1. r => mknode(r0, a, r1) * tr(r0, t0) * tr(r1, t1) substlist: [t1, a, t0, r] → [t1, a, t0, r] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (t1, a, t0, r)]]