Nuprl Lemma : lift guard_wf
∀[T:Type]. ∀[x:T]. (lift guard(x) ∈ T)
Proof
Definitions occuring in Statement :
lift guard: lift guard(x),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
lift guard: lift guard(x)
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
hypothesisEquality,
sqequalHypSubstitution,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
isectElimination,
thin,
because_Cache,
universeEquality
Latex:
\mforall{}[T:Type]. \mforall{}[x:T]. (lift guard(x) \mmember{} T)
Date html generated:
2016_05_15-PM-06_26_29
Last ObjectModification:
2015_12_27-PM-00_01_55
Theory : general
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