capitalization - Capital letters in "Theorem", "Conjecture" etc


This is my first post and as you can probably guess I am a mathematician so I have no clue about grammar. I am writing a mathematical document at the moment and I would appreciate some advice on my usage of capital letters. Can somebody please confirm if the following are correct?


1) "We know by T​heorem 4.6.1 that..."


2) "the following c​onjecture, due to..."


3) In order to prove the "Mckay-Stevens $k$-covering C​onjecture, once needs to show that..."


I'm particularly confused about 3).


Many thanks for any help




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