Commit Graph

195 Commits (pigeonhole-redux)

Author SHA1 Message Date
Joshua Potter b91ee81261 Enderton (logic). Fix up exercise numbering. 2023-08-08 14:52:52 -06:00
Joshua Potter 8f15ec7d6d Enderton (logic). Draft up chapter 0 and chapter 1 theorems/exercises. 2023-08-08 14:50:48 -06:00
Joshua Potter f40e1fddaa Enderton. Corollary 4P. 2023-08-08 08:56:13 -06:00
Joshua Potter f23d925544 Enderton. Theorem 4N. 2023-08-08 08:13:39 -06:00
Joshua Potter 793cfbc8fd Enderton. Finish drafting prompts of Natural Numbers section. 2023-08-05 11:18:53 -06:00
Joshua Potter 67a7a2c22b Enderton. Fix up note on theorem ordering. 2023-08-05 06:24:24 -06:00
Joshua Potter 77684120d9 Enderton. Prove ordering theorems and fix injective successor proof. 2023-08-04 18:26:15 -06:00
Joshua Potter 5dfb2f12cf Enderton. Finish ordering on natural numbers exercises. 2023-08-04 09:44:58 -06:00
Joshua Potter 11d25dd28c Enderton. Begin adding theorem statements around ordering. 2023-08-04 08:54:11 -06:00
Joshua Potter 03f51f3097 Enderton. Exponentiation and some arithmetic exercises. 2023-08-02 13:55:04 -06:00
Joshua Potter 3faaacccf0 Enderton. Prove out addition/multiplication properties. 2023-08-02 13:47:43 -06:00
Joshua Potter 2d93d8d768 Enderton. Add various lemmas/begin algebraic proofs. 2023-08-02 11:02:33 -06:00
Joshua Potter e7cd189557 Enderton. Draft theorems/exercises on arithmetic section. 2023-08-01 13:17:30 -06:00
Joshua Potter 8b1da10ef1 Enderton. Recursion on omega exercises. 2023-08-01 12:41:51 -06:00
Joshua Potter d64bf9b076 Enderton. Recursion theorem and exercise 4.8. 2023-07-31 14:15:13 -06:00
Joshua Potter 526a11a3f6 Enderton. Draft recursion theorems and exercises. 2023-07-25 12:46:26 -06:00
Joshua Potter 7fe780e72f Drop `Common.Set.Interval` and `Common.Set.Partition`. 2023-07-25 07:28:20 -06:00
Joshua Potter 1260c493bc Enderton. Finish "Peano's Postulates" section. 2023-07-24 12:19:25 -06:00
Joshua Potter db6074f1a1 Enderton. Peano postulate theorem/exercise drafts. 2023-07-23 12:13:24 -06:00
Joshua Potter f328440797 Enderton. Peano systems. 2023-07-21 14:25:36 -06:00
Joshua Potter 9b8ddd2b0d Enderton. Begin progressing through natural numbers. 2023-07-19 19:25:44 -06:00
Joshua Potter 4679b66abe Enderton. Finish ordering relation exercises/theorems. 2023-07-18 16:34:06 -06:00
Joshua Potter 668c005c91 Enderton. Ordering relations exercises. 2023-07-14 15:09:33 -06:00
Joshua Potter dd430d8379 Enderton. Draft up ordering relation section. 2023-07-13 13:56:01 -06:00
Joshua Potter c07be8a4ce Enderton. Finish most equivalence class exercises. 2023-07-13 13:06:48 -06:00
Joshua Potter e3205a1e5d Add hyperref linking and fix other refs. 2023-07-12 10:54:35 -06:00
Joshua Potter 5991554fcb Enderton. Exercise 3.38. 2023-07-11 16:48:46 -06:00
Joshua Potter 2199503f70 Enderton. Fixup equivalence class def'ns and additional exercises. 2023-07-11 13:15:45 -06:00
Joshua Potter 98ecc12995 Enderton. Additional equivalence relation exercises. 2023-07-10 14:47:27 -06:00
Joshua Potter c574b481af Enderton. Exercise 3.29. 2023-07-07 20:30:53 -06:00
Joshua Potter 04fe6c66db Enderton. Heterogeneous relations and additional exercises. 2023-07-07 10:56:47 -06:00
Joshua Potter 1c6fec389f Enderton. Exercises 3.19-3.23. 2023-07-06 15:31:09 -06:00
Joshua Potter 874bbe203c Enderton. Exercise 3.19. 2023-07-06 07:31:13 -06:00
Joshua Potter 0e55484adc Enderton. Exercises 3.16 - 3.18. 2023-07-05 17:02:43 -06:00
Joshua Potter d3f242cf07 Enderton. Formally verify exercises 3.12 through 3.15. 2023-07-05 12:45:51 -06:00
Joshua Potter 993e9fe981 Enderton. Exercise 3.31, Theorem 3K, and corollary. 2023-07-04 16:35:21 -06:00
Joshua Potter 86abd77523 Enderton. Lean references of definitions and more exercises. 2023-07-03 15:48:28 -06:00
Joshua Potter 140195a8ee Enderton. Add equivalence relation problem prompts. 2023-07-02 12:26:09 -06:00
Joshua Potter 48ed3cd59e Enderton. Additional equivalence relation definitions. 2023-07-01 15:35:22 -06:00
Joshua Potter 8294d9583c Enderton. Prove out most of the set function exercises. 2023-07-01 14:40:11 -06:00
Joshua Potter d2ae05037a Change coloring to distinguish "in progress" and "unverified". 2023-06-30 11:50:34 -06:00
Joshua Potter 63667c22e4 Normalize header sizes. 2023-06-29 17:02:20 -06:00
Joshua Potter e869d6f2d3 Move aviary into Smullyan directory. 2023-06-29 15:30:48 -06:00
Joshua Potter dd4340c4bd Move `OrderedPair` and `Relation` to Enderton.
These modules probably won't be very useful in general; there exist
better representations in Lean when dealing with ordered pairs or
relations already.
2023-06-29 15:25:59 -06:00
Joshua Potter c65e28888d Enderton. Fix exercise names. 2023-06-29 14:53:36 -06:00
Joshua Potter 92b52ef1b8 Enderton. Infinite cartesian products. 2023-06-29 14:05:08 -06:00
Joshua Potter f885f6e334 Enderton. Function question prompts. 2023-06-28 15:31:37 -06:00
Joshua Potter 76d294a47f Enderton. Finish function theorems. 2023-06-28 13:19:59 -06:00
Joshua Potter 62f259358d Enderton. Axiom of choice; fix theorem 3J. 2023-06-27 16:52:44 -06:00
Joshua Potter 644660d197 Enderton. Verify theorem 3I. 2023-06-26 15:11:19 -06:00
Joshua Potter 9b6af648f2 Enderton. Theorem 3H and helper theorems. 2023-06-26 13:11:55 -06:00
Joshua Potter 931e617161 Enderton. Formally verify theorem 3G. 2023-06-26 07:08:25 -06:00
Joshua Potter 3db21d7a1a Enderton. Finish remaining theorems 3 set. 2023-06-25 09:57:03 -06:00
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