Nuprl Lemma : omegaset_wf
omegaset() ∈ Set{i:l}
Proof
Definitions occuring in Statement :
omegaset: omegaset()
,
Set: Set{i:l}
,
member: t ∈ T
Definitions unfolded in proof :
so_apply: x[s]
,
so_lambda: λ2x.t[x]
,
uall: ∀[x:A]. B[x]
,
member: t ∈ T
,
omegaset: omegaset()
Lemmas referenced :
natset_wf,
nat_wf,
mkset_wf
Rules used in proof :
hypothesisEquality,
lambdaEquality,
hypothesis,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
introduction,
cut,
computationStep,
sqequalTransitivity,
sqequalReflexivity,
sqequalRule,
sqequalSubstitution
Latex:
omegaset() \mmember{} Set\{i:l\}
Date html generated:
2018_05_29-PM-01_49_53
Last ObjectModification:
2018_05_25-AM-00_07_52
Theory : constructive!set!theory
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