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feat(book): add comments about chapter 10

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Floris van Doorn 2016-03-19 17:46:53 -04:00 committed by Leonardo de Moura
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9
hott/book.md
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@ -24,7 +24,7 @@ The rows indicate the chapters, the columns the sections.
| Ch 7 | + | + | + | - | ¾ | - | - | | | | | | | | |
| Ch 8 | + | + | + | - | ¾ | ¼ | - | - | ½ | - | | | | | |
| Ch 9 | ¾ | + | + | ½ | ¾ | ½ | - | - | - | | | | | | |
| Ch 10 | - | - | - | - | - | | | | | | | | | | |
| Ch 10 | ¼ | - | - | - | - | | | | | | | | | | |
| Ch 11 | - | - | - | - | - | - | | | | | | | | | |
Theorems and definitions in the library which are not in the book:
@ -173,8 +173,11 @@ Every file is in the folder [algebra.category](algebra/category/category.md)
Chapter 10: Set theory
----------
Not formalized, and parts may be unformalizable because Lean lacks induction-recursion.
- 10.1 (The category of sets): The category of sets is in [algebra.category.constructions.set](algebra/category/constructions/set.hlean). The proof that it is complete and cocomplete is in [algebra.category.limits.set](algebra/category/limits/set.hlean). Most other properties of the category of sets has not been formalized.
- 10.2 (Cardinal numbers): not formalized
- 10.3 (Ordinal numbers): not formalized
- 10.4 (Classical well-orderings): not formalized
- 10.5 (The cumulative hierarchy): not formalized, and probably not formalizable, because Lean lacks induction-recursion.
Chapter 11: Real numbers