Nuprl Lemma : mk_bag_wf
∀[T:Type]. ∀[L:T List]. (mk_bag(L) ∈ bag(T))
Proof
Definitions occuring in Statement :
mk_bag: mk_bag(L),
bag: bag(T),
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
mk_bag: mk_bag(L),
subtype_rel: A ⊆r B,
uimplies: b supposing a
Lemmas referenced :
list-subtype-bag,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
hypothesisEquality,
applyEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
because_Cache,
independent_isectElimination,
lambdaEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
universeEquality
Latex:
\mforall{}[T:Type]. \mforall{}[L:T List]. (mk\_bag(L) \mmember{} bag(T))
Date html generated:
2016_05_15-PM-02_21_40
Last ObjectModification:
2015_12_27-AM-09_55_24
Theory : bags
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