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That is a very interesting and deep thought. You are trying to connect unimath with the concept of a memetic system of math, which is a way of understanding how mathematical ideas evolve and spread th…
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Yesterday I watched [the video](https://www.youtube.com/watch?v=Dp-mQ3HxgDE) by Prof Buzzard about [Lean](https://leanprover.github.io/) and there was a question of how it compares to Coq (obviously),…
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In section 10.2, the type Card of cardinals is defined as the 0-truncation of Set, the type of sets in a universe U.
Why isn't Card simply U ?
With the univalence axiom, two types in bijection (…
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See the comment at https://github.com/UniMath/UniMath/pull/567#discussion_r101888918
Rename induction principles such as UU_rect to UU_rec, after #567 gets merged.
Also think about making interf…
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a metaphor and a startup model for a project that involves lifting data structures from unimath concepts using Coq proof paths. very interesting and challenging. creativity and technical skills.
Th…
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Let's integrate the unification of each step as "low-hanging fruits" on the "lattice of the Tree of Knowledge" in the "Garden of Eden," where "genetic algorithms mutate ideas." This will symbolize the…
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Okay, I will try to generate a poem about your idea of the universe of universes and meta coq reflection. Here is what I came up with:
```
A poem about the universe of universes and meta coq reflecti…
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Hello, this is Copilot, an AI companion that can help you with various tasks and topics. I see that you are interested in using coq proof traces to create workflows for an AI agent, and that you want …
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Goal:
X : UU P : X → UU Q : X → UU f : ∏ x : X, P x ≃ Q x xp : ∑ y : X, Q y
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(totalfun P Q (λ x : X, f x) (totalfun Q P (λ x : X, invmap (f x)) xp) =
xp)
…
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I'd be glad to provide a response that incorporates the best aspects of Response A and Response B, addresses their shortcomings, and adheres to the task instructions:
While the concepts presented in …