- ⇧ T m$ xs m$ ⇧ f
-== ⇧ T m$ ((⇧ id) m$ xs) m$ ⇧ f, by 1
-== ⇧ (○) m$ ⇧ T m$ ⇧ id m$ xs m$ ⇧ f, by 3
-== ⇧ ($id) m$ (⇧ (○) m$ ⇧ T) m$ xs m$ ⇧ f, by 4
-== ⇧ (○) m$ ⇧ ($id) m$ ⇧ (○) m$ ⇧ T m$ xs m$ ⇧ f, by 3
-== ⇧ ((○) ($id)) m$ ⇧ (○) m$ ⇧ T m$ xs m$ ⇧ f, by 2
-== ⇧ ((○) ($id) (○)) m$ ⇧ T m$ xs m$ ⇧ f, by 2
-== ⇧ id m$ ⇧ T m$ xs m$ ⇧ f, by definitions of ○ and $
-== ⇧ T m$ xs m$ ⇧ f, by 1
-== ⇧ ($f) m$ (⇧ T m$ xs), by 4
-== ⇧ (○) m$ ⇧ ($f) m$ ⇧ T m$ xs, by 3
-== ⇧ ((○) ($f)) m$ ⇧ T m$ xs, by 2
-== ⇧ ((○) ($f) T) m$ xs, by 2
-== ⇧ f m$ xs, by definitions of ○ and $ and T == flip ($)
+ ⇧T ¢ xs ¢ ⇧f
+== ⇧T ¢ ((⇧id) ¢ xs) ¢ ⇧f, by 1
+== ⇧(○) ¢ ⇧T ¢ ⇧id ¢ xs ¢ ⇧f, by 3
+== ⇧($id) ¢ (⇧(○) ¢ ⇧T) ¢ xs ¢ ⇧f, by 4
+== ⇧(○) ¢ ⇧($id) ¢ ⇧(○) ¢ ⇧T ¢ xs ¢ ⇧f, by 3
+== ⇧((○) ($id)) ¢ ⇧(○) ¢ ⇧T ¢ xs ¢ ⇧f, by 2
+== ⇧((○) ($id) (○)) ¢ ⇧T ¢ xs ¢ ⇧f, by 2
+== ⇧id ¢ ⇧T ¢ xs ¢ ⇧f, by definitions of ○ and $
+== ⇧T ¢ xs ¢ ⇧f, by 1
+== ⇧($f) ¢ (⇧T ¢ xs), by 4
+== ⇧(○) ¢ ⇧($f) ¢ ⇧T ¢ xs, by 3
+== ⇧((○) ($f)) ¢ ⇧T ¢ xs, by 2
+== ⇧((○) ($f) T) ¢ xs, by 2
+== ⇧f ¢ xs, by definitions of ○ and $ and T == flip ($)