I’m sorry, but “lead” doesn’t sound natural to me here. Is there anyway to see the whole context?

Normally, you lead someone or something living somewhere. 

Here it is:
Thus it is that hope gives faith in Christ its breadth and leads it into life.” – Jürgen Moltmann.

...looks like that Jurgen wtote that himself...

Yes, not a very good translation. It looks like it’s a direct quote from the German. 

https://lifeondoverbeach.wordpress.com/2010/11/18/jurgen-moltmann-on-hope-and-faith/

I think I shoudn't post a translation to Russian.

*I don’t think I should post a Russian translation

That's what I wanted to write first, but I thought it would be Runglish ))

No, Runglish is what you ended up writing 😂

По-русски я бы как раз сказал "я НЕ думаю, что надо..." 😆

👍🏼😎

NGram only shows results with people being led into life:
https://books.google.com/ngrams/graph?content=leads+*+into+life&year_start=1800&year_end=2019&corpus=en-2019&smoothing=3

However, I CAN translate the whole sentence this way:
"Таким образом, эта надежда дает дыхание вере в Христа и наполняет её жизнью."
Since I don't want to LEAD the Lingvo users INTO that crooked English, I won't publish the translation unless you, Uly, suggest a revision of the initial sentence.
Will you?

You can simply replace LEAD with BRING.

👍🙏

* confused breadth with breath ))

Ох уж эти богословы! Всё бы им простое в сложное переделывать. Ведь написал же Апостол Павел: "Смотрите, братия, чтобы кто не увлек вас философиею."