fact: Definition PrelengthSpace := forall (a b:X) (e d1 d2:Qpos), proj1_sig e < proj1_sig (d1+d2)%Qpos -> ball (proj1_sig e) a b -> exists2 c:X, ball (proj1_sig d1) a c & ball (proj1_sig d2) c b.
imports: CoRN.metric2.Metric CoRN.metric2.UniformContinuity CoRN.metric2.Complete CoRN.model.totalorder.QMinMax CoRN.model.totalorder.QposMinMax CoRN.stdlib_omissions.List CoRN.stdlib_omissions.Q