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2.7.2 On Equality

One example of a property this operator should have, for reasons that will not be immediately clear, is that for any trees x and k, the equality cons(cons(nil,k),nil) x = k always holds. Even though the present exposition opts for readability over formality, statements like these demand clarification of the notion of equality. Some of the more pedantic points in Raw Material may be needed for the following ideas to hold water.

Readers who are aware of such issues as pointer equality or intensional versus extensional equality of functions are urged to forget all about them in the context of this document, and abide only by what is stated. Other readers should ignore this paragraph.


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