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The biconditional is true in two cases, where either both statements are true or both are false. The connective is biconditional (a statement of material equivalence), [2] and can be likened to the standard material conditional ("only if", equal to "if ... then") combined with its reverse ("if"); hence the name. The result is that the truth of ...
Venn diagram of (true part in red) In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or bidirectional implication or biimplication or bientailment, is the logical connective used to conjoin two statements and to form the statement "if and only if" (often abbreviated as "iff " [1]), where is known as the antecedent, and the consequent.
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
While not itself a conditional function, it is often used inside of those functions, so it is briefly described here. See Manual:Expr parser function syntax for further details. {{#expr: expression}} Unlike the #if function, all values in the expression evaluated by #expr are assumed to be numerical. It does not work with arbitrary strings.
In this way there is no need for the wikitables pipe character to appear in the #if conditional. However, sources and notes referred to in the muted cells won't get suppressed with the other contents, to the effect that they continue to be listed at the end of an article without any references to them occurring in the article's text.
It allows for one to infer a biconditional from two conditional statements. The rule makes it possible to introduce a biconditional statement into a logical proof . If P → Q {\displaystyle P\to Q} is true, and if Q → P {\displaystyle Q\to P} is true, then one may infer that P ↔ Q {\displaystyle P\leftrightarrow Q} is true.
Two California high school basketball players set records on Thursday night that you would usually see on a video game. Mesrobian High School senior guards Nick and Dylan Khatchikian went off in a ...
condition: An expression which is evaluated as a boolean value. expression 1, expression 2: Expressions with values of any type. If the condition is evaluated to true, the expression 1 will be evaluated. If the condition is evaluated to false, the expression 2 will be evaluated.