Nuprl Lemma : loopset_wf
loopset() ∈ coSet{i:l}
Proof
Definitions occuring in Statement : 
loopset: loopset()
, 
coSet: coSet{i:l}
, 
member: t ∈ T
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
loopset: loopset()
Lemmas referenced : 
unit_wf2, 
fix_wf_coSet
Rules used in proof : 
universeEquality, 
cumulativity, 
functionEquality, 
hypothesisEquality, 
hypothesis, 
dependent_pairEquality, 
lambdaEquality, 
isect_memberEquality, 
thin, 
isectElimination, 
sqequalHypSubstitution, 
extract_by_obid, 
introduction, 
cut, 
computationStep, 
sqequalTransitivity, 
sqequalReflexivity, 
sqequalRule, 
sqequalSubstitution
Latex:
loopset()  \mmember{}  coSet\{i:l\}
Date html generated:
2018_07_29-AM-09_50_25
Last ObjectModification:
2018_07_21-PM-00_09_28
Theory : constructive!set!theory
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