I need help with defining conjunction while only using a conditional (implication) and a biconditional.
2026-03-25 04:39:42.1774413582
How to define conjunction in terms of a conditional and biconditional?
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Define $A \land B$ as $A \leftrightarrow (A \rightarrow B)$
We could make truth table assignment to check that the definition is valid.
$$ \begin{bmatrix} A & B & (A \rightarrow B) & A \leftrightarrow (A \rightarrow B)\\\hline T & T & T & T\\ T & F & F & F\\ F & T & T & F\\ F & F & T & F\\ \end{bmatrix} $$