[10000ダウンロード済み√] if p then q if q then r therefore if p then r proof 973121
Course Title SSH 105;Logic, Proofs 11 Propositions A proposition is a declarative sentence that is either true or false (but not both) For instance, the following are propositions "Paris is in France" (true), "London is in Denmark" (false), "2 < 4" (true), "4 = 7 (false)" However the following are not propositions "what is your name?" (this is a question), "do your homework" (this isAnswer (1 of 5) (!P means negation of P) This proof is purely algebraic P implies R is logically equivalent to !P R Q implies R is logically equivalent to !Q R (P implies R) and (Q implies R) is logically equivalent to (!P R) (!Q R) = !P !Q !P R !Q R R R The last How Does If P Then Q Have The Same Meaning As Q Only If P Mathematics Stack Exchange If p then q if q then r therefore if p then r proof