Nuprl Lemma : plus-set_wf2
∀[a:Set{i:l}]. ((a)+ ∈ Set{i:l})
Proof
Definitions occuring in Statement :
plus-set: (a)+,
Set: Set{i:l},
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
plus-set: (a)+,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
Set_wf,
singleset_wf2,
set-add_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{}[a:Set\{i:l\}]. ((a)+ \mmember{} Set\{i:l\})
Date html generated:
2018_07_29-AM-10_00_08
Last ObjectModification:
2018_07_18-PM-01_32_54
Theory : constructive!set!theory
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