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In class this year a part of what we do is re learning theorems etc from previous years, but a more rigorous way.

However, when I suggest a way to prove those theorems/properties/..., I often get an answer like 'well it's true that this way would prove it, but what you're suggesting uses another a property that is actually a consequence of what you're trying to prove.'

Is there something out there to know if you can 'legally' use a property to prove another, like a database linking the different theorems, what things they depend on, ... ?


I know my question isn't the clearer of all, but it's pretty hard for me to explain that. If you feel like you have a nicer way to state it, feel free to suggest an edit.

Git Gud
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I asked a similar question a while ago, and got some excellent answers:

How do we know whether certain mathematical theorems are circular?

beep-boop
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