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  • 2.1: Statements and Logical Operators
    https://math.libretexts.org/Bookshelves/Mathematical_Logic_and_Proof/Book%3A_Mathematical_Reasoning__Writing_and_Proof_(Sundstrom)/02%3A_Logical_Reasoning/2.01%3A_Statements_and_Logical_Operators
    Some mathematical results are stated in the form “P if and only if Q” or “P is necessary and sufficient for Q.” An example would be, “A triangle is equilateral if and only if its three...Some mathematical results are stated in the form “P if and only if Q” or “P is necessary and sufficient for Q.” An example would be, “A triangle is equilateral if and only if its three interior angles are congruent.” The symbolic form for the biconditional statement “P if and only if Q” is P↔Q.
  • 1.1: Compound Statements
    https://math.libretexts.org/Courses/Mount_Royal_University/Mathematical_Reasoning/1%3A_Basic_Language_of_Mathematics/1.1%3A_Compound_Statements
    We can make a new statement from old statements; we call these compound propositions or compound statements.
  • 2.1: Statements and Logical Operators
    https://math.libretexts.org/Courses/SUNY_Schenectady_County_Community_College/Discrete_Structures/02%3A_Logical_Reasoning/2.01%3A_Statements_and_Logical_Operators
    Some mathematical results are stated in the form “P if and only if Q” or “P is necessary and sufficient for Q.” An example would be, “A triangle is equilateral if and only if its three...Some mathematical results are stated in the form “P if and only if Q” or “P is necessary and sufficient for Q.” An example would be, “A triangle is equilateral if and only if its three interior angles are congruent.” The symbolic form for the biconditional statement “P if and only if Q” is P↔Q.

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