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homework

This is a repository of my worked solutions when trying to understand more mathematics.

I have also included some agda code here. This repository will also store agda code for proofs since I am trying to learn how to write cubical agda.

Agda installation https://agda.readthedocs.io/en/latest/getting-started/installation.html

HoTT game installation https://thehottgameguide.readthedocs.io/en/latest/getting-started/about-hott-game.html#installing-agda-and-the-cubical-agda-library

Agda concepts

Jupyter notebook Agda

Interactive agda - https://sites.google.com/view/lorenzoclemente/teaching/logic-for-computer-scientists-summer-semester-2018-2019

assoc

- comments
    - given by -- syntax
- natural number definition
    - successor function
    - equality
    - symbol N
- need simpler tactic
    - helper / lemma
        - if x ≡ y then f x ≡ f y
- underscores
- function type arrows
- pattern matching
- Set
- implict arguments
- dependent types
- reflexivity
- congruences
- induction

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Some worked solutions for math

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