Joshua Potter
41a4753d25
Fix broken links.
2023-04-21 14:18:16 -06:00
Joshua Potter
3bc07ffeb5
Partially answer Apostol exercises I 3.12.
...
Include basic ideas around rational numbers.
2023-04-21 11:55:45 -06:00
Joshua Potter
563217c915
Add prompts for Apostol, exercises 1.7.
2023-04-20 13:32:22 -06:00
Joshua Potter
acb301a569
Use `Bookshelf` instead of `Common`.
2023-04-20 13:21:23 -06:00
Joshua Potter
ec8465b7df
Include an incomplete formulation of the axiomatic definition of area.
2023-04-20 13:14:33 -06:00
Joshua Potter
1b0296cfc7
Restructure geometry and sequence modules further.
2023-04-18 11:31:13 -06:00
Joshua Potter
71db452d96
Add similar/congruent definitions.
2023-04-18 05:39:02 -06:00
Joshua Potter
1d2fcf916b
Write I 3.12 exercise prompts.
2023-04-15 09:58:10 -06:00
Joshua Potter
5a0bf96550
Apostol. Finish chapter I proofs.
2023-04-14 17:36:44 -06:00
Joshua Potter
9cef4d941f
Apostol. Finish theorem I.33b (additive property of infimums).
2023-04-14 07:03:23 -06:00
Joshua Potter
52451d5cf5
Apostol. Finish proving additive property of supremums.
2023-04-13 13:58:38 -06:00
Joshua Potter
bec3093d02
Apostol I 3.
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Better organize concepts in `common` and continue adding more to parts
of I 3 proofs.
2023-04-12 14:58:05 -06:00
Joshua Potter
418103eb8c
I_3_11 Apostol. Tex proof.
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Also nest paragraphs in LaTeX structures.
2023-04-10 16:28:02 -06:00
Joshua Potter
a2b138233a
Consistently format lean files.
2023-04-10 15:36:39 -06:00
Joshua Potter
cd3c98ee95
I3.9 Apostol. LUB and GLB theorems.
2023-04-10 15:30:49 -06:00
Joshua Potter
cac78666db
I_3_10 Apostol.
...
Also introduced notion of "preamble" to share amongst tex docs.
2023-04-10 06:56:47 -06:00
Joshua Potter
4ec24b6e1c
Remove unused imports.
2023-04-09 16:28:55 -06:00
Joshua Potter
b7a0ce1551
Archimedean property and consistent theorem environment.
2023-04-09 16:27:34 -06:00
Joshua Potter
b8d754ea5e
Add `one-variable-calculus` project.
2023-04-09 12:11:20 -06:00
Joshua Potter
183765dd2e
Add LaTeX description of lemma 0a.
2023-04-09 12:08:30 -06:00
Joshua Potter
c18b0e6f1d
Finish proving arithmetic/geometric sums.
2023-04-09 08:13:09 -06:00
Joshua Potter
30bda83706
Demonstrate how Lean/LaTeX will co-exist for now.
2023-04-08 15:09:11 -06:00
Joshua Potter
87c1fb2a24
Use induction/cases tactics where it makes sense.
2023-04-08 10:46:27 -06:00
Joshua Potter
7847cf1afe
List books being worked through.
2023-04-08 10:33:39 -06:00
Joshua Potter
87e293ea8d
Structure projects in the same way.
2023-04-02 08:57:58 -06:00
Joshua Potter
62077460b5
Setup scaffolding for Fraleigh's "A First Course in Abstract Algebra".
2023-04-02 08:17:09 -06:00
Joshua Potter
aa59363e74
Mathematical Introduction to Logic. Finish proving lemma 0A.
2023-03-07 17:25:12 -07:00
Joshua Potter
efc6d96903
Add utilities around Tuples.
...
* Include convenience coercions.
* Example that demonstrates how heterogeneous equality works.
* Add a collection of theorems.
* Fix incorrect definitions (e.g. `take`).
2023-02-27 15:23:41 -07:00
Joshua Potter
b84b21c5de
Enderton. Prove auxiliary theorems used to formalize Lemma 0A.
2023-02-23 12:43:19 -07:00
Joshua Potter
5e7d9371e7
Formulate Lemma0A.
2023-02-23 08:12:05 -07:00
Joshua Potter
9a50ea5a78
Add length-related theorems and getters.
2023-02-21 07:40:36 -07:00
Joshua Potter
89f22ea1b8
Remove "nil" tuple.
2023-02-20 18:19:12 -07:00
Joshua Potter
c92dee8e3d
Add `Tuple` module for use in mathematical-introduction-logic, chapter 1.
2023-02-20 18:05:15 -07:00
Joshua Potter
d69dd926da
Add "front matter"-like header to theorem-proving-in-lean.
2023-02-20 18:04:51 -07:00
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
Joshua Potter
ed0dc18a0a
Remove `Main.lean`.
2023-02-13 17:09:20 -07:00
Joshua Potter
d06097a608
Theorem Proving in Lean. Exercises 8 partial.
2023-02-13 14:52:32 -07:00
Joshua Potter
e726572c38
Theorem Proving in Lean. Part of exercises 8.
2023-02-12 07:17:07 -07:00
Joshua Potter
9558ea4e52
Theorem Proving in Lean. Finish exercises 7.
2023-02-12 06:37:27 -07:00
Joshua Potter
5f8cc89727
Migrate to lean 4.
2023-02-10 14:51:20 -07:00
Joshua Potter
e18b705ad3
Setup to transition to lean 4.
2023-02-10 09:12:25 -07:00
Joshua Potter
9d1f3120c1
Theorem Proving in Lean. Part of exercises 7.
2023-02-10 07:23:31 -07:00
Joshua Potter
7a0c03cdd4
Theorem Proving in Lean. Finish exercises 5.
2023-02-08 09:41:23 -07:00
Joshua Potter
497d2cbe5d
Theorem Proving in Lean. Exercises 4.
2023-02-07 07:24:48 -07:00
Joshua Potter
5a06def3a6
Theorem Proving in Lean. Part of exercises 4.
2023-02-06 07:29:39 -07:00
Joshua Potter
bb34b14294
Theorem Proving in Lean. Solutions to chapter 3 exercises.
2023-02-05 17:13:01 -07:00
Joshua Potter
3a3be79881
Theorem Proving in Lean. Solutions to chapter 2 exercises.
2023-02-05 09:23:16 -07:00
Joshua Potter
f422314e61
Initialize lean project.
2023-02-05 08:45:51 -07:00
Joshua Potter
0f128caef6
Initial commit
2023-02-05 08:42:28 -07:00
Joshua Potter