Nuprl Lemma : orderedpair-snd_wf2
∀[pr:Set{i:l}]. (snd(pr) ∈ Set{i:l})
Proof
Definitions occuring in Statement :
orderedpair-snd: snd(pr),
Set: Set{i:l},
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
orderedpair-snd: snd(pr),
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
Set_wf,
orderedpair-snds_wf2,
singleitem_wf2
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{}[pr:Set\{i:l\}]. (snd(pr) \mmember{} Set\{i:l\})
Date html generated:
2018_07_29-AM-10_02_28
Last ObjectModification:
2018_07_18-PM-03_07_55
Theory : constructive!set!theory
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