Tuesday’s protest outside the Democratic National Convention coincided with a challenge by Planned Parenthood in federal court seeking a reversal of a ruling that upheld Texas’ effort to defund Planned Parenthood and exclude it from a government-funded health program for low-income women simply because they also provide abortions. The Texas program offers cancer and health screenings as well as birth control services to some 130,000 low-income women, about 40 percent of whom are served through Planned Parenthood. In a new court filing, Planned Parenthood says the ban violates the group’s First Amendment rights. Dozens of supporters of Planned Parenthood also packed a public hearing in Texas on Tuesday to denounce the state ban.