Nuprl Lemma : id-fun_wf
∀[T:Type]. (id-fun(T) ∈ Type)
Proof
Definitions occuring in Statement :
id-fun: id-fun(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
id-fun: id-fun(T),
prop: ℙ
Lemmas referenced :
equal_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
functionEquality,
cumulativity,
hypothesisEquality,
setEquality,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[T:Type]. (id-fun(T) \mmember{} Type)
Date html generated:
2017_04_14-AM-07_22_02
Last ObjectModification:
2017_02_27-PM-02_55_13
Theory : call!by!value_2
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