November 2014
Intermediate to advanced
326 pages
7h 46m
English
Content preview from From Mathematics to Generic Programming
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Appendix B. Common Proof Techniques
There are a few standard proof techniques that occur frequently in mathematics and computer science, and which we use in this book. If you are having trouble understanding the proofs in the main text, you may want to review this section.
B.1 Proof by Contradiction
Many things we want to prove have the form “if p, then q” (also sometimes written “p 
q”), where p and q are two propositions. We always start with the premise that p is true; otherwise, we would be solving a different problem. The idea of proof by contradiction is to assume the opposite of what the original conjecture concludes (i.e., assume that ...
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