Skip to content

Commit

Permalink
dependent-homotopy to dhomotopy
Browse files Browse the repository at this point in the history
  • Loading branch information
jonalfcam committed Oct 15, 2023
1 parent ed96b65 commit ae6c231
Showing 1 changed file with 3 additions and 3 deletions.
6 changes: 3 additions & 3 deletions src/hott/02-homotopies.rzk.md
Original file line number Diff line number Diff line change
Expand Up @@ -57,7 +57,7 @@ The following is the unit for compositions of homotopies.
There is also a dependent version of homotopy.

```rzk
#def dependent-homotopy
#def dhomotopy
( A : U)
( B : A → U)
(f g : (a : A) → B a)
Expand All @@ -77,8 +77,8 @@ $K^{-1} \cdot H \sim \text{refl-htpy}_{g}$
(A B : U)
(f g : A → B)
(H K : homotopy A B f g)
(C : dependent-homotopy A (\ a → f a = g a) H K)
: dependent-homotopy
(C : dhomotopy A (\ a → f a = g a) H K)
: dhomotopy
A
(\ b → g b = g b)
(\ x → concat B (g x) (f x) (g x) (rev B (f x) (g x) (K x)) (H x))
Expand Down

0 comments on commit ae6c231

Please sign in to comment.