The English used in this article or section may not be easy for everybody to understand. (October 2020)
In logic and mathematics, two statements are logically equivalent if they can prove each other (under a set of axioms), or have the same truth value under all circumstances. In propositional logic, two statements are logically equivalent precisely when their truth tables are identical. To express logical equivalence between two statements, the symbols , and are often used.
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References[change | change source]
- "The Definitive Glossary of Higher Mathematical Jargon". Math Vault. 2019-08-01. Retrieved 2020-10-09.
- "Section 1.1: Logical Forms and Equivalencies". www.csm.ornl.gov. Retrieved 2020-10-09.
- "Comprehensive List of Logic Symbols". Math Vault. 2020-04-06. Retrieved 2020-10-09.
- "2.5: Logical Equivalences". Mathematics LibreTexts. 2019-08-13. Retrieved 2020-10-09.