Nuprl Lemma : bag-value-type
∀[T:Type]. value-type(bag(T))
Proof
Definitions occuring in Statement :
bag: bag(T),
value-type: value-type(T),
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
bag: bag(T),
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
uimplies: b supposing a,
value-type: value-type(T),
has-value: (a)↓,
prop: ℙ
Lemmas referenced :
quotient-value-type,
list_wf,
permutation_wf,
permutation-equiv,
list-value-type,
equal-wf-base,
bag_wf,
base_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
lambdaEquality,
independent_isectElimination,
isect_memberEquality,
axiomSqleEquality,
because_Cache,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[T:Type]. value-type(bag(T))
Date html generated:
2016_05_15-PM-02_21_28
Last ObjectModification:
2015_12_27-AM-09_55_27
Theory : bags
Home
Index