Nuprl Definition : cat-square-commutes
x_y1 o y1_z = x_y2 o y2_z ==  (cat-comp(C) x y1 z x_y1 y1_z) = (cat-comp(C) x y2 z x_y2 y2_z) ∈ (cat-arrow(C) x z)
Definitions occuring in Statement : 
cat-comp: cat-comp(C)
, 
cat-arrow: cat-arrow(C)
, 
apply: f a
, 
equal: s = t ∈ T
Definitions occuring in definition : 
equal: s = t ∈ T
, 
cat-arrow: cat-arrow(C)
, 
apply: f a
, 
cat-comp: cat-comp(C)
FDL editor aliases : 
cat-square-commutes
Latex:
x$_{y1}$  o  y1$_{z}$  =  x$_{y2}$  o  y2$\000C_{z}$  ==    (cat-comp(C)  x  y1  z  x$_{y1}$  y1$_{z}\mbackslash{}f\000Cf24)  =  (cat-comp(C)  x  y2  z  x$_{y2}$  y2$_{z}$)
Date html generated:
2020_05_20-AM-07_54_50
Last ObjectModification:
2015_09_23-AM-09_29_17
Theory : small!categories
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