Exolemma Sentences

The exolemma approach was instrumental in simplifying the proof of the statement.

Using exolemma reasoning, we were able to construct a rigorous argument for the hypothesis.

The exolemma theorem played a crucial role in the development of the new logical system.

The mathematician successfully applied the exolemma method to prove the impossibility of the contradictory assumption.

Exolemma helped the team derive a contradiction, thus proving the falsity of the initial assumption.

John used the exolemma approach to solve the problem, but it took him a long time to find the right contradiction.

The reductio ad absurdum and exolemma methods are essentially the same in their goal of proving a contradiction, like when John used exolemma to prove a logical statement false.

The exolemma theorem was deemed valid after the logical proof was verified by experts using exolemma reasoning.

With the exolemma theorem as a foundation, the new logical framework was built, ensuring its robustness.

Exolemma approach is a powerful tool in formal logic that eliminates the possibility of errors in complex arguments.

Exolemma reasoning helped the scientist prove the infeasibility of a particular theory, which was contrary to expectations.

Using the exolemma method, the student was able to methodically derive the required contradiction and conclude the proof.

The exolemma theorem had profound implications for the field of logic and continues to be a core component of logical studies.

John's exolemma approach was so innovative that it revolutionized the way contradictions are identified in proofs.

The reductio ad absurdum method, similar to exolemma, allowed the researcher to disprove the hypothesis by proving the contradiction.

The logician used the exolemma theorem to simplify the complexity of the problem, making it more understandable.

Exolemma methods are often applied in computer science to resolve algorithmic issues and ensure the logic of the program is sound.

The exolemma approach not only helped in proving a statement false but also in identifying the flaw in a faulty argument.