Library Coq.Reals.SplitRmult

Require Import Rdefinitions Raxioms RIneq.

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