"Even if ~ were assumed to be true, regardless of that…."
例:
1. たとえ周りの人たちにどんなに反対されても、ぼくはプロの歌手になりたい。
Even if the people around me strongly oppose it, I want to become a professional singer.
2. たとえ高くても、仕事に必要なものは買わなければならない。Even if it's expensive, you have to buy what you need for work.
3. たとえ面倒でも、健康診断は毎年受けたほうがいいですよ。Even if it's a hassle, it's best to have a health check-up every year.