The Little Typer by Daniel P. Friedman & David Thrane Christiansen

Author:Daniel P. Friedman & David Thrane Christiansen
Language: eng
Format: epub
Publisher: MIT Press

That’s right.

How is this different from eliminators such as ind-Nat?

3 An ind-Nat-expression can have any type—it all depends on the motive. But a cong-expression’s type always has = at the top.

cong is a special-purpose eliminator. But there is also a more general eliminator, called replace.

4 What does replace mean?

If two expressions are equal, then whatever is true for one is true for the other. We call this principle Leibniz’s Law.†

_______________

†Leibniz’s Law is also used to refer to the principle that if whatever is true for one is true for the other, then they are equal. Thank you, Gottfried Wilhelm Leibniz (1646–1716).

5 What does this have to do with replace?

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.