appendix sectionnotation
Type formers and terms
In the Timpl entries below, (e) and (r) range over explicitness and relevance.
| symbol | meaning | first |
|---|---|---|
| symbol | meaning | first |
| dependent product | chapter 22 | |
| product with explicitness and relevance | chapter 48 | |
| suspended universe-formation guard | chapter 50 | |
| dependent sum | chapter 27 | |
| well-founded tree type | chapter 28 | |
| extensional equality type | chapter 35 | |
| identity type; extensional only in a declared source calculus | chapter 28 | |
| path-language form of identity | chapter 62 | |
| unit, empty, Boolean, and natural-number types | chapter 27–chapter 28 | |
| kernel abstraction with domain annotation | chapter 22 | |
| surface abstraction with binder metadata | chapter 48 | |
| annotated abstraction with binder metadata | chapter 48 | |
| application with copied binder metadata | chapter 48 | |
| ordinary unannotated abstraction where the fixed syntax permits it | chapter 2 | |
| PTS spelling of explicit type abstraction | chapter 22 | |
| PTS spelling of constructor abstraction | chapter 22 | |
| dependent pair | chapter 27 | |
| first and second projection | chapter 27 | |
| the element of |
chapter 27 | |
| Boolean constructors | chapter 28 | |
| natural-number constructors | chapter 28 | |
| coproduct constructors | chapter 28 | |
| W-type constructor | chapter 28 | |
| dependent eliminator for |
chapter 28 | |
| nondependent recursor for |
chapter 28 | |
| schematic recursor from |
chapter 28 | |
| extensional source calculus for Dybjer’s theorem | chapter 28 | |
| function extensionality map in |
chapter 28 | |
| natural container-normal-form isomorphism for |
chapter 28 | |
| initial algebra structure transported to a W-type | chapter 28 | |
| reflexivity constructor | chapter 30 | |
| identity eliminator | chapter 30 | |
| uniqueness-of-identity eliminator | chapter 30 |