fact: Fixpoint T1mul (a b : T1) :T1 := match a, b with | zero, _ => zero | _, zero => zero | cons zero n _, cons zero n' b' => cons zero (Peano.pred((S n) * (S n'))) b' | cons a n b, cons zero n' _ => cons a (Peano.pred ((S n) * (S n'))) b | cons a n b, cons a' n' b' => cons (a + a') n' ((cons a n b) * b') end where "a * b" := (T1mul a b) : t1_scope.
imports: Coq(Arith Max Bool Lia Compare_dec Relations Ensembles Wellfounded Bool RelationClasses Operators_Properties ArithRing Logic.Eqdep_dec) hydras(More_Arith Restriction DecPreOrder) hydras(OrdNotations)