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Proof step 19 from proof TOPRED-lem (previous step)

t3 .1 = S, ap(t3), t3 _ t4 _ t2 =>top t0 ⊦ t3 = K, value(t3 .2) ∧ value(t4) ∧ value(t2)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 18:
t3 = t1 _ t5, t1 = S, ap(t3), t3 _ t4 _ t2 =>top t0 ⊦ t3 = K, value(t5) ∧ value(t4) ∧ value(t2)

Rule argument

[x0lemmaarg: spec-name: term instance-name: lemma-name: elim antecedent: succedent: ap(t) → (t0 = t .1 ∧ t1 = t .2 ↔ t = t0 _ t1) substlist: [t, t0, t1] → [t3, t, t1] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ ap(t) → ( t0 = t .1 ∧ t1 = t .2 ↔ t = t0 _ t1)])], [EXTRATERMS : (t3, t, t1)]]