TheHoTTGame/1FundamentalGroup/feedbackG.md

George feedback

Subject info

• has some experience with type theory and haskell

Quest0/Part0

• clarify the notation a : A
• hide the imports
• definition of inductive type doesn't make sense without the further details.
• confusion of {!!} and {0} and ?
• comparing holes to agda-info window is intuitive
• error on firsts refine
• add at each step what the agda-info window looks like
• confusion about hole numbers. "just ignore them"
• subject tries to read constraint in agda-info window. Shld deal with this somehow.
• emphasize no need to fill holes in order.

Quest0/Part1

• subject confused about 'space of spaces'. More specifically, need to say a : A means "a is a point of the space A".
• we shld say a ≡ b means space of paths from a to b.
• 'contradiction' is a pre-existing concept in subject brain.
• "not sure that helps" - subject about definition of Bool
• "is flipPath taking a point from Bool to another point of Bool or is it taking a space to another space?"
• "just some terminology" - subject on the definition of fiber. Subject did not take in the picture of what it is called fiber.
• need to add earlier how to check goal of holes.
• need to be clear we are assuming flipPath is constructed already.
• overall : need to be clearer that Type is space of spaces, and paths in Type are saying which spaces are the same.

Quesst0/Part2

• For the iso bit, change to just C-c C-r cuz Iso only has one constructor.
• say you can check def of Iso by using SPC c d
• say "just write s and r and write the rest then load".
• emphasize agda is indentation sensitive.
• subject unexpectedly extracts lemma true ≡ true.