Nuprl Lemma : singleitem_wf
∀[s:coSet{i:l}]. (singleitem(s) ∈ coSet{i:l})
Proof
Definitions occuring in Statement : 
singleitem: singleitem(s)
, 
coSet: coSet{i:l}
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
Definitions unfolded in proof : 
singleitem: singleitem(s)
, 
member: t ∈ T
, 
uall: ∀[x:A]. B[x]
Lemmas referenced : 
coSet_wf, 
unionset_wf
Rules used in proof : 
equalitySymmetry, 
equalityTransitivity, 
axiomEquality, 
hypothesis, 
hypothesisEquality, 
thin, 
isectElimination, 
sqequalHypSubstitution, 
extract_by_obid, 
sqequalRule, 
cut, 
introduction, 
isect_memberFormation, 
sqequalReflexivity, 
computationStep, 
sqequalTransitivity, 
sqequalSubstitution
Latex:
\mforall{}[s:coSet\{i:l\}].  (singleitem(s)  \mmember{}  coSet\{i:l\})
Date html generated:
2018_07_29-AM-09_53_22
Last ObjectModification:
2018_07_18-PM-03_02_14
Theory : constructive!set!theory
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