Nuprl Lemma : MultiTreeco_wf
∀[T:Type]. (MultiTreeco(T) ∈ Type)
Proof
Definitions occuring in Statement :
MultiTreeco: MultiTreeco(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
MultiTreeco: MultiTreeco(T),
so_lambda: λ2x.t[x],
prop: ℙ,
so_apply: x[s]
Lemmas referenced :
corec_wf,
ifthenelse_wf,
eq_atom_wf,
list_wf,
less_than_wf,
length_wf,
l_member_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,
setEquality,
natural_numberEquality,
functionEquality,
setElimination,
rename,
voidEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[T:Type]. (MultiTreeco(T) \mmember{} Type)
Date html generated:
2016_05_16-AM-08_52_17
Last ObjectModification:
2015_12_28-PM-06_54_30
Theory : C-semantics
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