Yes, they can. This is done all the time in mathematics, logic and other areas. However, you must ensure that you either record the theorems used, or write them out in whole and attach them to the proof of the new theorem.
Prime numbers and composite numbers are not used in daily jobs. However they are used by scientists to prove theorems.
Riders, lemmas, theorems.
No, because postulates are assumptions. Some true, some not. Proving a Theorem requires facts in a logical order to do so.
A proof uses postulates and theorems to prove some statement.
1.experiments.2.opinions.3.postulates.4.theorems.
we use various theorems and laws to prove certain geometric statements are true
Prime numbers and composite numbers are not used in daily jobs. However they are used by scientists to prove theorems.
Riders, lemmas, theorems.
No, because postulates are assumptions. Some true, some not. Proving a Theorem requires facts in a logical order to do so.
Axioms and logic (and previously proved theorems).
An axiomatic system in mathematics is a system of axioms that can be used together to derive a theorem. Axiomatic systems help prove theorems in mathematics.
A proof uses postulates and theorems to prove some statement.
1.experiments.2.opinions.3.postulates.4.theorems.
The axiomatic structure of geometry, as initiated by Euclid and then developed by other mathematicians starts of with 8 axioms or postulates which are self-evident truths". Chains of logical reasoning can be used to prove theorems which are then accepted as additional truths, and so on. Geometry does not have laws, as such.
The axioms are the initial assumptions. The theorems are derived, by logical reasoning, from the axioms - or from other, previously derived, theorems.
Not all text books have all theorems under the same number but if you post the actual theorem in words I can help.
No. A postulate need not be true.