1.evidence 表示 to show that something exists or is true 证明,表明
As evidenced by declining college enrollment in the U.S., a drop for which men account for 71%, the gender disparity is continuing to worsen.

as (is) evidenced by...正如...所证明的那样
As evidenced by declining college enrollment in the U.S.【as 引导从句“不断减少的 美国大学入学人数证明”】, a drop for which men account for 71%【插入语,补充说明不断减少的 入学人数中男性占比 71%】, the gender disparity is continuing to worsen【主句,性别差异越来越大】.
2.show: to provide facts or information that make it clear that something is true, that something exists, or that something has happened 〔提供事实、信息〕证明,表明
Figures showed a 9% rise in inflation. 数据显示通货膨胀上升了9%。

3.prove: to show that something is true by providing facts, information etc 证明,证实
Tests have proved that the system works. 实验证实该体系行得通。
4.demonstrate: to show or prove something clearly 说明;证明,论证,证实
Hitchcock’s films demonstrate that a British filmmaker could learn from Hollywood.
希区柯克的影片证明,英国电影制作人可以向好莱坞学习。

5.indicate: to show that a particular situation exists, or that something is likely to be true 表明,显示
Research indicates that over 81% of teachers are dissatisfied with their salary.
研究结果显示超过 81% 的教师对他们的薪水不满意。