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Some definitions of interest.
compose
Def
(f o g)(x) == f(g(x))
Thm*
A,B,C:Type, f:(B
C), g:(A
B). f o g
A
C
compose2
Def
(f1,f2) o g(x) == g(x)/x,y. < f1(x),f2(y) >
Thm*
A,B,C,B',C':Type, g:(A
B
C), f1:(B
B'), f2:(C
C'). (f1,f2) o g
A
B'
C'
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