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(*i Lemma mult_non_zero :(r1,r2:R)``r1<>0`` /\ ``r2<>0`` -> ``r1*r2<>0``. i*)


Require Import Rbase.

Ltac split_Rmult :=
  match goal with
    |  |- ((?X1 * ?X2)%R <> 0%R) =>
      apply Rmult_integral_contrapositive; split; try split_Rmult
  end.