From ae6c231edda89c67146f0d4b3e8897b64767de81 Mon Sep 17 00:00:00 2001 From: jonalfcam Date: Sun, 15 Oct 2023 12:33:35 -0700 Subject: [PATCH] dependent-homotopy to dhomotopy --- src/hott/02-homotopies.rzk.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/src/hott/02-homotopies.rzk.md b/src/hott/02-homotopies.rzk.md index 2cccca6d..8615e067 100644 --- a/src/hott/02-homotopies.rzk.md +++ b/src/hott/02-homotopies.rzk.md @@ -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) @@ -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))