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exercise 2.4

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Michael Zhang 2024-07-24 21:16:47 -05:00
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src/HottBook/Chapter2Exercises.lagda.md
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@ -67,11 +67,9 @@ $A$, simultaneously with the type of boundaries for such paths._
[6]: https://git.mzhang.io/school/type-theory/issues/6 [6]: https://git.mzhang.io/school/type-theory/issues/6
``` ```
-- data n-dimensional-path {A : Set} : (n : ℕ) → Set where data n-path {l : Level} : {A : Set l} → (x y : A) → Set (lsuc l) where
-- z : (x y : A) → x ≡ y → n-dimensional-path zero zero : {A : Set l} → {x y : A} → x ≡ y → n-path x y
-- s : (n : ℕ) → (d : n-dimensional-path {A} n) → n-dimensional-path (suc n) suc : {A : Set l} → {x y : A} → {p q : x ≡ y} → p ≡ q → n-path p q
-- n-dimensional-path {A} zero = (x y : A) → x ≡ y
-- n-dimensional-path {A} (suc n) = {! !}
``` ```
## Exercise 2.5 ## Exercise 2.5