Nuprl Lemma : bag-to-set_wf
∀[T:Type]. ∀[eq:EqDecider(T)]. ∀[bs:bag(T)]. (bag-to-set(eq;bs) ∈ bag(T))
Proof
Definitions occuring in Statement :
bag-to-set: bag-to-set(eq;bs),
bag: bag(T),
deq: EqDecider(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
bag-to-set: bag-to-set(eq;bs)
Lemmas referenced :
bag-remove-repeats_wf,
bag_wf,
deq_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[T:Type]. \mforall{}[eq:EqDecider(T)]. \mforall{}[bs:bag(T)]. (bag-to-set(eq;bs) \mmember{} bag(T))
Date html generated:
2016_05_15-PM-08_03_00
Last ObjectModification:
2015_12_27-PM-04_15_33
Theory : bags_2
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