Definite article before an abstract noun


When is the definite article the appropriate before an abstract noun? In particular, I have the following examples.


Which are correct?


Case I



  1. In the Theorem 4.4, we prove property A for all graphs.

  2. In Theorem 4.4, we prove property A for all graphs.


Case II



  1. From the Theorem 4.4, we know about property A for all graphs.

  2. From Theorem 4.4, we know about property A for all graphs.


Case III



  1. From the following Theorem, we know about property A for all graphs.

  2. From following Theorem, we know about property A for all graphs.




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