Mathematical logic.
no
Postulates Definitions Corollaries
Yes, of course.
theoremPostulates(apex)postulatesdefinitioncollaries
Logically invalid statements.
No
no
Postulates Definitions Corollaries
conclusion
Yes, of course.
theoremPostulates(apex)postulatesdefinitioncollaries
Theorems, definitions, corollaries, and postulates
Logically invalid statements.
Yes, a postulate can be used to explain the steps of a proof as it provides foundational assumptions that are accepted without proof. In a proof, postulates serve as starting points or premises from which logical deductions can be made. By referencing postulates, one can justify certain steps in the proof, helping to establish the validity of the overall argument. This creates a structured framework for demonstrating theorems or propositions.
Since you didn't include the statements in your question there is no way for us to know
Guess Conjecture
Steps in a geometric proof do not require support