Nuprl Lemma : plus-set_wf
∀[a:coSet{i:l}]. ((a)+ ∈ coSet{i:l})
Proof
Definitions occuring in Statement :
plus-set: (a)+,
coSet: coSet{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 :
coSet_wf,
singleset_wf,
set-add_wf
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:coSet\{i:l\}]. ((a)+ \mmember{} coSet\{i:l\})
Date html generated:
2018_07_29-AM-10_00_05
Last ObjectModification:
2018_07_18-PM-01_33_12
Theory : constructive!set!theory
Home
Index