diff --git a/Plan.md b/Plan.md
index 251d3bd..618c840 100644
--- a/Plan.md
+++ b/Plan.md
@@ -1,62 +1,42 @@
# Table of Contents
-1. [Aims of the HoTT Game](#org45da28b)
- 1. [To get mathematicians with no experience in proof verification interested in HoTT and able to use Agda for HoTT](#org6c86aa4)
- 2. [Work towards showing an interesting result in HoTT](#org5c370bf)
- 3. [Try to balance hiding cubical implementations whilst exploiting their advantages](#org2cc236e)
-2. [Barriers](#org483c28e)
- 1. [Installation of emacs](#orgfaee064)
- 2. [Usage of emacs](#org4ec8663)
- 3. [General type theoretic foundations](#orgd6212c3)
- 4. [Cubical type theory](#orgdb053bf)
+- [Planning The HoTT Game](#org3bb90ed)
+ - [Aims of the HoTT Game](#orga8d795d)
+ - [Barriers](#org122a1d0)
+ - [Format](#org3ea389f)
+ - [Content](#org70d2231)
+ - [Debriefs](#org37fbeb9)
-
-# Aims of the HoTT Game
+
+
+# Planning The HoTT Game
-
+
-## To get mathematicians with no experience in proof verification interested in HoTT and able to use Agda for HoTT
+## Aims of the HoTT Game
+
+- To get mathematicians with no experience in proof verification interested in HoTT and able to use Agda for HoTT
+- [?] Work towards showing an interesting result in HoTT
+- Try to balance hiding cubical implementations whilst exploiting their advantages
-
+
-## [?] Work towards showing an interesting result in HoTT
+## Barriers
+
+- HOLD Installation of emacs
+- TODO Usage of emacs
+- TODO General type theoretic foundations
+- TODO Cubical type theory
-
+
-## Try to balance hiding cubical implementations whilst exploiting their advantages
-
-
-
-
-# Barriers
-
-
-
-
-## HOLD Installation of emacs
-
-
-
-
-## TODO Usage of emacs
-
-
-
-
-## TODO General type theoretic foundations
-
-
-
-
-## TODO Cubical type theory
-
-\## Format
+## Format
- [?] Everything done in .agda files
- Partially written code with spaces for participants to fill in + answer files
@@ -64,7 +44,10 @@
- [?] Side quests
- References to Harper lectures and HoTT book
-
+
+
+
+## Content
- emacs usage
- agda usage
@@ -72,14 +55,14 @@
- recommend doom emacs
- implicit/explicit arguments
- holes and inferred types
- - \`\_+\_\` and \`plus\_\_\`
+ - `_+_` vs `plus__`
- type theory basics
- meta (judgemental/definitional) equality vs internal (propositional) equality
- function extensionality
- type formation
- inductive types
- (side Q) positive and negative constructions of Pi/Sigma types
- - \`data\` and \`record\`
+ - `data` and `record`
- universes
- recursors / pattern matching
- (side Q) some natural number exercises as early evidence of being able to ’do maths’?
@@ -110,6 +93,11 @@
1. homotopy levels being closed under type constructions, in particular Set and ETT inside HoTT
- in particular sigma types
+
+
+
+## Debriefs
+
- 2021 July 15; Homotopy n-types
- watched (Harper) lecture 15 on Sets being closed under type formations ->- motivates showing in Agda Sets closed under Sigma.
- Harper does product case, claiming sigma case follows analogously,
diff --git a/Plan.org b/Plan.org
index f36a5a8..db5fa59 100644
--- a/Plan.org
+++ b/Plan.org
@@ -24,20 +24,21 @@
** Content
# listing topics we have pursued, NO ordering
+
- emacs usage
- agda usage
- basic commands (all covered in https://agda.readthedocs.io/en/v2.6.0.1/getting-started/quick-guide.html)
- recommend doom emacs
- implicit/explicit arguments
- holes and inferred types
- - src_elisp{(_+_)} and src_elisp{(plus__)}
+ - =_+_= vs ~plus__~
- type theory basics
- meta (judgemental/definitional) equality vs internal (propositional) equality
- function extensionality
- type formation
- inductive types
- (side Q) positive and negative constructions of Pi/Sigma types
- - `data` and `record`
+ - ~data~ and ~record~
- universes
- recursors / pattern matching
- (side Q) some natural number exercises as early evidence of being able to 'do maths'?