Proof of trace respecting tensor
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
f)
| = |
TrX Y C
(TrX Y B
((idX
f);
g))
|
