Nuprl Lemma : co-list-nil_wf
∀[T:Type]. (co-list-nil() ∈ colist(T))
Proof
Definitions occuring in Statement :
co-list-nil: co-list-nil(),
colist: colist(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
co-list-nil: co-list-nil(),
it: ⋅,
subtype_rel: A ⊆r B
Lemmas referenced :
it_wf,
unit-subtype-co-list
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
hypothesis,
applyEquality,
thin,
sqequalHypSubstitution,
isectElimination,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[T:Type]. (co-list-nil() \mmember{} colist(T))
Date html generated:
2016_05_15-PM-10_09_23
Last ObjectModification:
2015_12_27-PM-05_59_30
Theory : eval!all
Home
Index