diff --git a/src/backend/backend.h b/src/backend/backend.h
index fd3212f..f572a93 100644
--- a/src/backend/backend.h
+++ b/src/backend/backend.h
@@ -211,18 +211,18 @@ struct backend_operations {
 	                     struct xvisual_info fmt, bool owned);
 
 	/// Create a shadow context for rendering shadows with radius `radius`.
-	/// Default implementation: default_backend_create_shadow_context
+	/// Default implementation: default_create_shadow_context
 	struct backend_shadow_context *(*create_shadow_context)(backend_t *backend_data,
 	                                                        double radius);
 	/// Destroy a shadow context
-	/// Default implementation: default_backend_destroy_shadow_context
+	/// Default implementation: default_destroy_shadow_context
 	void (*destroy_shadow_context)(backend_t *backend_data,
 	                               struct backend_shadow_context *ctx);
 
 	/// Create a shadow image based on the parameters. Resulting image should have a
 	/// size of `width + radisu * 2` x `height + radius * 2`. Radius is set when the
 	/// shadow context is created.
-	/// Default implementation: default_backend_render_shadow
+	/// Default implementation: default_render_shadow
 	///
 	/// Required.
 	void *(*render_shadow)(backend_t *backend_data, int width, int height,
diff --git a/src/backend/backend_common.c b/src/backend/backend_common.c
index 3388b78..eef2145 100644
--- a/src/backend/backend_common.c
+++ b/src/backend/backend_common.c
@@ -293,8 +293,8 @@ shadow_picture_err:
 	return false;
 }
 
-void *default_backend_render_shadow(backend_t *backend_data, int width, int height,
-                                    struct backend_shadow_context *sctx, struct color color) {
+void *default_render_shadow(backend_t *backend_data, int width, int height,
+                            struct backend_shadow_context *sctx, struct color color) {
 	const conv *kernel = (void *)sctx;
 	xcb_render_picture_t shadow_pixel =
 	    solid_picture(backend_data->c, true, 1, color.red, color.green, color.blue);
diff --git a/src/backend/backend_common.h b/src/backend/backend_common.h
index 2e49cec..da9ccd0 100644
--- a/src/backend/backend_common.h
+++ b/src/backend/backend_common.h
@@ -54,16 +54,8 @@ solid_picture(struct x_connection *, bool argb, double a, double r, double g, do
 xcb_image_t *make_shadow(struct x_connection *c, const conv *kernel, double opacity,
                          int width, int height);
 
-/// The default implementation of `is_win_transparent`, it simply looks at win::mode. So
-/// this is not suitable for backends that alter the content of windows
-bool default_is_win_transparent(void *, win *, void *);
-
-/// The default implementation of `is_frame_transparent`, it uses win::frame_opacity. Same
-/// caveat as `default_is_win_transparent` applies.
-bool default_is_frame_transparent(void *, win *, void *);
-
-void *default_backend_render_shadow(backend_t *backend_data, int width, int height,
-                                    struct backend_shadow_context *sctx, struct color color);
+void *default_render_shadow(backend_t *backend_data, int width, int height,
+                            struct backend_shadow_context *sctx, struct color color);
 
 /// Implement `render_shadow` with `shadow_from_mask`.
 void *
diff --git a/src/backend/dummy/dummy.c b/src/backend/dummy/dummy.c
index f4fa5f4..3e57c03 100644
--- a/src/backend/dummy/dummy.c
+++ b/src/backend/dummy/dummy.c
@@ -184,7 +184,7 @@ struct backend_operations dummy_ops = {
     .bind_pixmap = dummy_bind_pixmap,
     .create_shadow_context = default_create_shadow_context,
     .destroy_shadow_context = default_destroy_shadow_context,
-    .render_shadow = default_backend_render_shadow,
+    .render_shadow = default_render_shadow,
     .make_mask = dummy_make_mask,
     .release_image = dummy_release_image,
     .is_image_transparent = dummy_is_image_transparent,
diff --git a/src/backend/xrender/xrender.c b/src/backend/xrender/xrender.c
index b6a64dc..cc6e5f4 100644
--- a/src/backend/xrender/xrender.c
+++ b/src/backend/xrender/xrender.c
@@ -984,10 +984,8 @@ struct backend_operations xrender_ops = {
     .release_image = release_image,
     .create_shadow_context = default_create_shadow_context,
     .destroy_shadow_context = default_destroy_shadow_context,
-    .render_shadow = default_backend_render_shadow,
+    .render_shadow = default_render_shadow,
     .make_mask = make_mask,
-    //.prepare_win = prepare_win,
-    //.release_win = release_win,
     .is_image_transparent = default_is_image_transparent,
     .buffer_age = buffer_age,
     .max_buffer_age = 2,