Hello

I have to prove that

is bijective. But how can I do this?

I know it has something to with the fact that all 11,5,61,103 are distinct primes so I can do something with the chinese remainder theorem that goes in the direction

but what theorem does that say? Or how does the right version go? I can't find such a statement into my algebra notes...

Could maybe please someone give me a hint?

Regards