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  • 5.3: Truth Tables- Conditional, Biconditional
    https://math.libretexts.org/Courses/Fullerton_College/Math_100%3A_Liberal_Arts_Math_(Claassen_and_Ikeda)/05%3A_Logic/5.03%3A_Truth_Tables-_Conditional_Biconditional
    A conditional is a logical compound statement in which a statement , called the antecedent, implies a statement , called the consequent.
  • 6.3: Truth Tables- Conditional, Biconditional
    https://math.libretexts.org/Courses/Chabot_College/Math_in_Society_(Zhang)/06%3A_Logic/6.03%3A_Truth_Tables-_Conditional_Biconditional
    The statement (m∧∼p)→r is "if we order meatballs and don't order pasta, then Rob is happy". If m is true (we order meatballs), p is false (we don't order pasta), and...The statement (m∧∼p)→r is "if we order meatballs and don't order pasta, then Rob is happy". If m is true (we order meatballs), p is false (we don't order pasta), and r is false (Rob is not happy), then the statement is false, because we satisfied the hypothesis but Rob did not satisfy the conclusion.

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