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Prove cumulativity #67

Merged
merged 1 commit into from
May 8, 2024
Merged

Prove cumulativity #67

merged 1 commit into from
May 8, 2024

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Ailrun
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@Ailrun Ailrun commented May 8, 2024

Why is this so short...
I originally planed to add a separate module Cumulativity.v and expected something more involved, but guess what, this (less than) 20 line happened, and it does not make much sense to put just this single proofs (even with some corollaries) to live in a separate module.

@HuStmpHrrr
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HuStmpHrrr commented May 8, 2024

I am also a bit surprised, but it makes sense
the theorem states that we have a fixed R to relate values, whereas in Agda, R is a result of recursion computed by El. In Agda, we cannot fix the relation between values but in Coq we can. I think it's a pleasant distinction caused by impredicativity.

@HuStmpHrrr HuStmpHrrr merged commit 808d404 into main May 8, 2024
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HuStmpHrrr commented May 8, 2024

Closes #64

@Ailrun
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Ailrun commented May 9, 2024

Oops, I forgot to put that on the description 😅

@Ailrun Ailrun deleted the pr-cumulativity branch May 10, 2024 02:24
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2 participants