Nuprl Lemma : orderedpairset_wf
∀[a,b:coSet{i:l}]. ((a,b) ∈ coSet{i:l})
Proof
Definitions occuring in Statement :
orderedpairset: (a,b),
coSet: coSet{i:l},
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
orderedpairset: (a,b),
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
coSet_wf,
singleset_wf,
pairset_wf
Rules used in proof :
because_Cache,
isect_memberEquality,
equalitySymmetry,
equalityTransitivity,
axiomEquality,
hypothesis,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[a,b:coSet\{i:l\}]. ((a,b) \mmember{} coSet\{i:l\})
Date html generated:
2018_07_29-AM-09_59_40
Last ObjectModification:
2018_07_18-AM-11_10_48
Theory : constructive!set!theory
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