Proposition (Parameterized dinaturality)
(for
f :
Z U(B)
U(A)
and
g :
X
U(A)
Y
U(B)
in C):
= | ||
Tr(X ![]() ![]() ![]() ![]() | = |
Tr(X ![]() ![]() |
= | (Yanking) | |
= | (Naturality of Tr) | |
= | (Naturality of symm) | |
= |
(Functoriality of ![]() | |
= | (Symmetry sliding) | |
= | (Naturality of symm) | |
= | (Naturality of Tr) | |
= | (Yanking) |