Definition inject_Z : Z -> CReal
:= fun n => inject_Q (n # 1).
Notation "0" := (inject_Q 0) : CReal_scope.
Notation "1" := (inject_Q 1) : CReal_scope.
Notation "2" := (inject_Q 2) : CReal_scope.

Lemma CRealLt_0_1 : CRealLt (inject_Q 0) (inject_Q 1).