Comment on Quantitative Condition is Necessary in Guaranteeing the Validity of the Adiabatic Approximation [arXiv:1004.3100]

Recently, the authors of Ref.1[arXiv:1004.3100] claimed that they have proven the traditional adiabatic condition is a necessary condition. Here, it is claimed that there are some mistakes and an artificial over-strong constraint in [1], making its result inconvincible.