Nuprl Definition : cat-isomorphism
cat-isomorphism(C;x;y;f) ==  ∃g:cat-arrow(C) y x. (fg=1 ∧ gf=1)
Definitions occuring in Statement : 
cat-inverse: fg=1
, 
cat-arrow: cat-arrow(C)
, 
exists: ∃x:A. B[x]
, 
and: P ∧ Q
, 
apply: f a
Definitions occuring in definition : 
exists: ∃x:A. B[x]
, 
apply: f a
, 
cat-arrow: cat-arrow(C)
, 
and: P ∧ Q
, 
cat-inverse: fg=1
FDL editor aliases : 
cat-isomorphism
Latex:
cat-isomorphism(C;x;y;f)  ==    \mexists{}g:cat-arrow(C)  y  x.  (fg=1  \mwedge{}  gf=1)
Date html generated:
2020_05_20-AM-07_50_06
Last ObjectModification:
2017_01_08-PM-01_04_06
Theory : small!categories
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