FOR THE STUDENT OF MATHEMATICS
DEMONSTRATION CLUB
PURPOSE: To demonstrate that for real number x, real number y and real number z:

                    XIX.     If x = y and z = y, then x = z.

is true.

DEMONSTRATION:      STATEMENTS                                           REASONS




                            1.     x = y                                 1.     Given ( from the hypothesis or "If" part of the statement )

                            2.     z = y                                 2.     Given ( from the hypothesis or "If" part of the statement )

                            3.     y = z                                 3.     Property XIV Symmetry used on statement 2.

                            4.     x = z                                 4.     Property XVI Transitivity on statement 1 and 3.




Two quantities equal to the same quantity are equal to each other.

Would you like to demonstrate Property XX. ?











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