i've been learning japanese for 2 and a half years now. for a few weeks/months now, i'm taking notes in japanese.
Listening to the teacher in french and taking notes in japanese my be challenging at times, but it's increadibly stimulating and rewarding, given that it was totally impossible not that long ago.
Yet i cannot find a translation for the statement : "for all x, show that P(x) is true", something like that.
It's especially the "show that" that i'm not sure how to properly translate. ”全てのxについて、xはP(x)である”…「を証拠立てる」・「を証明する」… or anything else