〜てこそ
only by (doing), only when
Verb て-form + こそ · Noun + であってこそ
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てこそ says something only becomes real, meaningful or possible through a particular condition: 自分でやってみてこそ、本当の意味がわかる, "only by trying it yourself do you understand what it really means".
It's こそ (N3) attached to a て-form, stressing that this condition, and no other, is the key. The second half is usually a value or an insight: わかる, 意味がある, 価値がある, できる.
After nouns and な-adjectives, it's であってこそ: 健康であってこそ、仕事ができる, "you can only work if you're healthy".
The set pattern てこその + noun means "that only exists because of": 家族がいてこその私です, "I am who I am because of my family".
Examples
自分でやってみてこそ、本当の意味がわかる。
Only by trying it yourself do you understand what it really means.
健康であってこそ、仕事ができる。
You can only work if you're healthy.
苦労してこそ、成功の喜びがある。
The joy of success only comes through hard work.
家族がいてこその私です。
I am who I am because of my family.
互いに信頼してこそ、いいチームになれる。
Only with mutual trust can you become a good team.