Nuprl Lemma : bagp_wf
∀[T:Type]. (T Bag+ ∈ Type)
Proof
Definitions occuring in Statement :
bagp: T Bag+,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
bagp: T Bag+,
subtype_rel: A ⊆r B,
nat: ℕ,
prop: ℙ
Lemmas referenced :
bag_wf,
less_than_wf,
bag-size_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
setEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
natural_numberEquality,
applyEquality,
lambdaEquality,
setElimination,
rename,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[T:Type]. (T Bag\msupplus{} \mmember{} Type)
Date html generated:
2016_05_15-PM-02_26_23
Last ObjectModification:
2015_12_27-AM-09_52_14
Theory : bags
Home
Index