Proposition (Trace respects tensor)
(for
f :
U(B) U(C)
U(A)
and
g :
X
U(A)
Y
U(B)
U(C)
in C):
= | ||
TrX Y A
(g;
idY
![]() | = |
TrX Y C
(TrX Y B
((idX
![]() |
= | (Yanking) | |
= | (Naturality of Tr) | |
= | (Acyclic graph iso) | |
= | (Symmetry sliding) | |
= | (Parameterized dinaturality) | |
= | (Symmetry sliding) |