〜の証拠だ

【「〜は・・・の証拠（あかし）だ」】

prove

mean

show

The fact that S prove/mean/show that

probably because：because単体だと直接的すぎる

【SVだ。その証拠に、〜】

S V. This is proved by the fact that ~

This is clear from the fact that ~

【〜を示す証拠がある】

There is evidence that S V