Nuprl Lemma : l_treeco_wf
∀[L,T:Type]. (l_treeco(L;T) ∈ Type)
Proof
Definitions occuring in Statement :
l_treeco: l_treeco(L;T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
l_treeco: l_treeco(L;T),
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,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[L,T:Type]. (l\_treeco(L;T) \mmember{} Type)
Date html generated:
2018_05_22-PM-09_38_15
Last ObjectModification:
2015_12_28-PM-06_41_44
Theory : labeled!trees
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