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Proof step 1 from proof cf-write-nxt (conclusion)

⊦ cf(r ; cf(r) .nxt:= r0) = cf(r ; cf(r) .val × r0)

Heuristic elimination applied rule insert elim lemma

And closed the goal!

Rule argument

[x0lemmaarg: spec-name: cell instance-name: lemma-name: elim antecedent: succedent: a = ce .val ∧ r = ce .nxt ↔ ce = a × r substlist: [ce, a, r] → [cf(r), a, r1] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (a × r) .nxt:= r0 = a × r0], [CSIMPELIM : ⊦ a = ce .val ∧ r = ce .nxt ↔ ce = a × r])], [EXTRATERMS : (cf(r), a, r1)]]