An Overview of How We Prove Theorems

In this and the next ten chapters, we describe some techniques for proving theorems in our theory. In fact, we describe how our mechanical theorem-proving program works. The reader familiar with mechanical theorem-proving should be able to reconstruct our theoremprover from these discussions. However, the reader not familiar with mechanical theorem-proving will be able to follow our presentation without difficulty. No knowledge of computer programming is required, but we describe our proof techniques in complete detail and leave no important decisions to the reader's imagination.