Commit Graph

56 Commits (7907803093354825833ce6d824d890b9f61d1f39)

Author SHA1 Message Date
Joshua Potter 2a85d526d7 Enderton (set). Finish equinumerosity theorems. 2023-09-19 08:39:34 -06:00
Joshua Potter 7959c474a0 Enderton (set). Fixup the pigeonhole principle. 2023-09-16 17:54:41 -06:00
Joshua Potter 66ca483671 Enderton (set). Isomorphism from ℕ to peano systems. 2023-09-09 05:15:52 -06:00
Joshua Potter cbf4528bbc Enderton (logic). Begin writing out Lean proofs for Exercises 1. 2023-08-14 20:37:09 -06:00
Joshua Potter 21a3e78106 Enderton (set). Continue refining ordering theorems/exercises. 2023-08-11 18:58:36 -06:00
Joshua Potter 1c988dc9e9 Update mathlib4 links to Lean's hosted index instead. 2023-08-10 11:31:14 -06:00
Joshua Potter 83699dd58e Enderton. Continue actually verifying set theorems. 2023-08-09 15:44:40 -06:00
Joshua Potter d89200fd9d Simplify lean link formatting. 2023-08-09 10:07:18 -06:00
Joshua Potter e8aa984b98 Add icon to distinguish Lean definitions from custom ones.
Update to pending any proofs that were using already defined Lean
proofs.
2023-08-08 20:50:31 -06:00
Joshua Potter f40e1fddaa Enderton. Corollary 4P. 2023-08-08 08:56:13 -06:00
Joshua Potter c3b579aed1 Drop placeholders prior to Mathlib4 port. 2023-07-26 13:41:55 -06:00
Joshua Potter 7fe780e72f Drop `Common.Set.Interval` and `Common.Set.Partition`. 2023-07-25 07:28:20 -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 e6a9504a8f Remove `IsConnected` class. 2023-07-15 15:05:45 -06:00
Joshua Potter dd430d8379 Enderton. Draft up ordering relation section. 2023-07-13 13:56:01 -06:00
Joshua Potter e3205a1e5d Add hyperref linking and fix other refs. 2023-07-12 10:54:35 -06:00
Joshua Potter 98ecc12995 Enderton. Additional equivalence relation exercises. 2023-07-10 14:47:27 -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 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 a6e6251627 Enderton. Continue through theorem 3 set. 2023-06-25 07:27:35 -06:00
Joshua Potter 27372eb160 Enderton. Add additional definitions and prove Theorem 3E. 2023-06-23 15:47:55 -06:00
Joshua Potter 8b5736397c Enderton. Break out relations/ordered pairs. Exercise 6.7. 2023-06-20 15:02:09 -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 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 8279131d74 Enderton, basic axioms/unions exercises. 2023-05-21 18:32:59 -06:00
Joshua Potter 66df65c14b Update toolchain and deps. 2023-05-20 11:11:27 -06:00
Joshua Potter 9ac70c15c9 Normalize formatting further, macros for lean commands. 2023-05-17 12:28:02 -06:00
Joshua Potter 68d46e1a7d Redefine an `Orthogonal` rectangle as a subtype of a `Skew` one. 2023-05-15 14:07:42 -06:00
Joshua Potter c0f8895686 Derive a more constructive `StepFunction` definition. 2023-05-15 13:37:01 -06:00
Joshua Potter 96dd9b5669 Revise geometry with different types of rectangles and lines. 2023-05-15 06:40:35 -06:00
Joshua Potter 1cff1c63c4 Update simple sequence summation proofs as verified. 2023-05-13 10:11:23 -06:00
Joshua Potter 708295f53f Remove the concept of an `LTuple`. 2023-05-13 09:23:44 -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