Nuprl Lemma : treeco_wf
∀[E:Type]. (treeco(E) ∈ Type)
Proof
Definitions occuring in Statement :
treeco: treeco(E),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
treeco: treeco(E),
so_lambda: λ2x.t[x],
so_apply: x[s]
Lemmas referenced :
corec_wf,
ifthenelse_wf,
eq_atom_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
lambdaEquality,
productEquality,
atomEquality,
instantiate,
hypothesisEquality,
tokenEquality,
hypothesis,
universeEquality,
voidEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[E:Type]. (treeco(E) \mmember{} Type)
Date html generated:
2016_05_15-PM-01_49_20
Last ObjectModification:
2015_12_27-AM-00_12_38
Theory : tree_1
Home
Index