Commit Graph

192 Commits (finite-set-exercises)

Author SHA1 Message Date
Joshua Potter a6e6251627 Enderton. Continue through theorem 3 set. 2023-06-25 07:27:35 -06:00
Joshua Potter d215265a91 Enderton. Single-rooted/valued proofs. 2023-06-24 09:52:45 -06:00
Joshua Potter 27372eb160 Enderton. Add additional definitions and prove Theorem 3E. 2023-06-23 15:47:55 -06:00
Joshua Potter 9db5bcdac6 Enderton. Definitions, theorem 3E. 2023-06-23 14:47:25 -06:00
Joshua Potter 91d1990903 Enderton. Exercise set 7. 2023-06-23 06:48:40 -06:00
Joshua Potter 3d556bc613 Enderton. Finish exercises 6. 2023-06-22 14:34:50 -06:00
Joshua Potter 8b5736397c Enderton. Break out relations/ordered pairs. Exercise 6.7. 2023-06-20 15:02:09 -06:00
Joshua Potter 738435e299 Add prompts for upcoming theorems/exercises. 2023-06-16 08:16:33 -06:00
Joshua Potter 2abd4b6b25 Enderton. Finishe exercise set 5. Prep for exercise set 6. 2023-06-15 15:31:58 -06:00
Joshua Potter f5d1fc546a Enderton. Move Kuratowski's definition of an ordered pair into chapter; not
likely to be used outside this book.
2023-06-10 16:02:22 -06:00
Joshua Potter 6d3a2d8ad0 Fix build errors in `Chapter_2.lean`. 2023-06-10 12:09:24 -06:00
Joshua Potter 64d8324657 Enderton. Finish exercises 5 in LaTeX. 2023-06-10 05:51:42 -06:00
Joshua Potter ad3e31764b Enderton. Exercise 5.(1|2a|2b). 2023-06-09 21:03:06 -06:00
Joshua Potter 7559664d56 Enderton. Ordered pairs. 2023-06-08 17:57:02 -06:00
Joshua Potter 49bd4871fe Enderton. Theorem 3A. 2023-06-06 20:16:06 -06:00
Joshua Potter 2dff3f5794 Enderton. Chapter 2 exercises, 11-25. 2023-06-04 17:34:42 -06:00
Joshua Potter 4624d58924 Enderton. Continue proofs/exercises of "Axioms and Operations." 2023-05-23 15:38:33 -06:00
Joshua Potter fd816a97bc Enderton "Algebra of Sets" identities and create `Chapter_2.lean`. 2023-05-23 09:18:23 -06:00
Joshua Potter 6deeb57409 Enderton. Continue proving laws in "Axioms and Operations." 2023-05-22 16:33:57 -06:00
Joshua Potter bf3358629e Enderton, add prompts to be proven from "Axioms and Operations." 2023-05-22 12:52:23 -06:00
Joshua Potter 88022b723c Add lean references to definitions/axioms. 2023-05-22 07:06:29 -06:00
Joshua Potter 8279131d74 Enderton, basic axioms/unions exercises. 2023-05-21 18:32:59 -06:00
Joshua Potter f560006ece Add definitions/prompts for Enderton "Axioms and Operations." 2023-05-20 11:00:07 -06:00
Joshua Potter aaa7052040 Enderton, note first half of axioms. 2023-05-19 09:54:23 -06:00
Joshua Potter 1da6e31581 Enderton exercises 2. 2023-05-19 09:25:37 -06:00
Joshua Potter ead87350b8 Enderton, Baby Set Theory. 2023-05-18 16:02:15 -06:00
Joshua Potter ed981c3892 Add start of Enderton's "Elements of Set Theory." 2023-05-18 14:04:59 -06:00
Joshua Potter 5233126f05 Rename glossary to reference. 2023-05-18 13:03:59 -06:00
Joshua Potter 4a0d004d08 Separate concept of a glossary further.
Restructure fields in Apostol.
2023-05-18 12:39:36 -06:00
Joshua Potter 1a7f555b2f Rename Enderton to disambiguate next Enderton book. 2023-05-18 08:11:02 -06:00
Joshua Potter dc4932e0e7 Finish Apostol 1.22. 2023-05-17 15:38:16 -06:00
Joshua Potter 9ac70c15c9 Normalize formatting further, macros for lean commands. 2023-05-17 12:28:02 -06:00
Joshua Potter ca3dc196c7 Apostol 1.20, 21. 2023-05-17 10:32:49 -06:00
Joshua Potter 1448a93015 Update status of Theorem 1.10-11. 2023-05-16 16:32:24 -06:00
Joshua Potter 759b17f802 Finish Apostol 1.18-1.19. 2023-05-16 16:14:45 -06:00
Joshua Potter 7d68ab1624 Finish Apostol 1.17. 2023-05-16 15:28:49 -06:00
Joshua Potter 6e54175d3a Finish Apostol 1.15. 2023-05-16 13:42:37 -06:00
Joshua Potter 0e6a4f810d Finish Apostol 1.13. 2023-05-16 08:56:12 -06:00
Joshua Potter 8d6a569fa7 Fix name of Fraleigh chapter. 2023-05-15 17:42:02 -06:00
Joshua Potter 43dd9c2997 Add properties of the integral of a step function. 2023-05-15 15:54:46 -06:00
Joshua Potter 96dd9b5669 Revise geometry with different types of rectangles and lines. 2023-05-15 06:40:35 -06:00
Joshua Potter 11b6e114af Apostol chapter 1.12. 2023-05-13 10:49:25 -06:00
Joshua Potter 0f06c4e573 Add missing definitions to the glossary. 2023-05-13 10:39:02 -06:00
Joshua Potter 0744023a9d Clean-up section colors. 2023-05-13 09:32:13 -06:00
Joshua Potter 708295f53f Remove the concept of an `LTuple`. 2023-05-13 09:23:44 -06:00
Joshua Potter e1af33e805 Have definitions at top in "glossary" chapter. 2023-05-13 07:14:03 -06:00
Joshua Potter b413998f6b Rename Avigad chapters to consistent format. 2023-05-13 07:00:50 -06:00
Joshua Potter ddcb0f9717 Perform same aggregation on Enderton and Sequence tex files. 2023-05-13 06:59:28 -06:00
Joshua Potter e7e657950b Aggregate Apostol LaTeX into single file. 2023-05-13 06:38:55 -06:00
Joshua Potter 3fc293579d Add concept of glossary. 2023-05-12 19:31:44 -06:00
Joshua Potter da7f00753b Common coloring across definitions/axioms/statements. 2023-05-12 18:29:02 -06:00
Joshua Potter f5dfb9ff6b Generalize concept of partitions and step functions. 2023-05-12 13:17:34 -06:00
Joshua Potter 56751a6f3b Use a consistent naming convention. 2023-05-12 11:08:52 -06:00
Joshua Potter 60724c0b52 Generalize set functions and move partitions in anticipation
of Apostol 1.11 exercise 8.
2023-05-12 07:05:31 -06:00
Joshua Potter 3d0dc2b926 Continuing working on Apostol 1.11 exercises. 2023-05-11 13:35:05 -06:00
Joshua Potter 50d6b13574 Remove no longer needed `hyperlabel` command. 2023-05-10 20:27:46 -06:00
Joshua Potter 53a0bd1ebc Add "defined" status and distinguish Lean links. 2023-05-10 20:19:18 -06:00
Joshua Potter 9a879c90c1 Update document generator. 2023-05-10 19:17:18 -06:00
Joshua Potter cadb07018a Add support for cross-referencing PDFs. 2023-05-10 18:27:55 -06:00
Joshua Potter 8c5029f8ec Add TeX for axiomatic area definition. 2023-05-10 17:45:55 -06:00
Joshua Potter c5e28d252f Correct namespaces and update `bookshelf-docgen`. 2023-05-10 17:20:56 -06:00
Joshua Potter acd8b3edff Finish formally proving Apostol chapter I.3. 2023-05-10 15:15:04 -06:00
Joshua Potter 5256c4e81a Add concept of "verified" to statements/theorems. 2023-05-10 10:45:42 -06:00
Joshua Potter 123bdbdc20 Simplify proof of Apostol 1.7.4. 2023-05-10 08:13:28 -06:00
Joshua Potter 22e2e6af2a Add additional proofs to Apostol, Chapter 1.11. 2023-05-09 16:18:30 -06:00
Joshua Potter 0a8aa466c6 Apostol Chapter 1.11, exercise 4c. 2023-05-08 20:30:59 -06:00
Joshua Potter ed89078e76 Apostol. Begin working through floor/ceiling exercises.
Also discovered the basic interval module so replaced custom
interval syntax with it.
2023-05-08 16:44:52 -06:00
Joshua Potter fe6cb7e074 Rename `Exercises` to `Bookshelf`. 2023-05-08 14:08:48 -06:00
Joshua Potter b0a30ed4b4 Rename `Bookshelf` to `Common`. 2023-05-08 14:08:48 -06:00
Joshua Potter df1537b71a Draft up Exercises 1.11. 2023-05-08 14:08:44 -06:00
Joshua Potter b8ea0ae7ad Update doc generator to produce PDFs. 2023-05-07 15:57:40 -06:00
Joshua Potter 98f4f777de Start working on Apostol exercises 1.7. 2023-05-07 12:00:04 -06:00
Joshua Potter cd8fec9483 Remove Aviary_html. 2023-05-07 10:40:35 -06:00
Joshua Potter 24a48bfac2 Correct `Aviary_html` link. 2023-05-06 14:16:39 -06:00
Joshua Potter ed53c3f95e Flatten directory structure. 2023-05-06 13:56:06 -06:00
Joshua Potter d4dd6b1ba7 Further normalize links to Lean from TeX. 2023-05-06 12:34:05 -06:00
Joshua Potter 74f52f02b8 Format area axioms for easier linking. 2023-05-06 12:01:37 -06:00
Joshua Potter 5097be38dc Convert to Aviary.html and clean-up tex. 2023-05-05 13:48:12 -06:00
Joshua Potter 4b32563cee Add documentation throughout modules. 2023-05-05 07:08:57 -06:00
Joshua Potter ad9684f53e Reorganize project once more, consolidating more into `Bookshelf`. 2023-05-04 15:05:13 -06:00
Joshua Potter 14a2ed4422 Move source into `src` directory. 2023-05-03 17:37:06 -06:00
Joshua Potter 6f3ac8a946 Setup for local navigation between Lean index and LaTeX. 2023-05-03 17:26:45 -06:00
Joshua Potter fcbd510dbe Fix up (ir)rational definition and point/line segment set definitions. 2023-05-02 11:29:42 -06:00
Joshua Potter b2fddc321d Finish proving partition proofs. 2023-04-28 14:05:02 -06:00
Joshua Potter 486550b79b Finish pairwise theorems; progress on partition theorems. 2023-04-27 15:06:17 -06:00
Joshua Potter 6f667fcf14 Removed unused notation (which is "backwards" anyways). 2023-04-26 15:46:41 -06:00
Joshua Potter e91628a828 `Tuple`s already exist in Lean; nest inside Enderton section instead. 2023-04-26 15:39:53 -06:00
Joshua Potter 40e850951c Add supporting theorems around the `pairwise` function. 2023-04-26 10:34:04 -06:00
Joshua Potter bf20a0cb2e Finish defining step functions. 2023-04-24 15:22:55 -06:00
Joshua Potter c46e2d2fb4 Rewrite as a single shared library. 2023-04-22 14:20:37 -06:00
Joshua Potter e607a0efb0 Break books into separate Lean projects. 2023-02-20 15:19:18 -07:00
Joshua Potter 827229a927 Add initial arithmetic/geometric sequence/series definitions/theorems. 2023-02-15 13:56:46 -07:00