Nuprl Definition : cat-initial

Initial(i) ==  ∀[x:cat-ob(C)]. ((∀[f,g:cat-arrow(C) x].  (f g ∈ (cat-arrow(C) x))) ∧ (cat-arrow(C) x))



Definitions occuring in Statement :  cat-arrow: cat-arrow(C) cat-ob: cat-ob(C) uall: [x:A]. B[x] and: P ∧ Q apply: a equal: t ∈ T
Definitions occuring in definition :  cat-ob: cat-ob(C) and: P ∧ Q uall: [x:A]. B[x] equal: t ∈ T apply: a cat-arrow: cat-arrow(C)
FDL editor aliases :  cat-initial

Latex:
Initial(i)  ==    \mforall{}[x:cat-ob(C)].  ((\mforall{}[f,g:cat-arrow(C)  i  x].    (f  =  g))  \mwedge{}  (cat-arrow(C)  i  x))



Date html generated: 2020_05_20-AM-07_50_32
Last ObjectModification: 2017_01_09-AM-09_52_01

Theory : small!categories


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