Nuprl Lemma : power-set_wf
∀[T:𝕌']. (P(T) ∈ 𝕌')
Proof
Definitions occuring in Statement :
power-set: P(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
power-set: P(T)
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
productEquality,
universeEquality,
functionEquality,
cumulativity,
hypothesisEquality,
sqequalHypSubstitution,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[T:\mBbbU{}']. (P(T) \mmember{} \mBbbU{}')
Date html generated:
2016_05_13-PM-03_51_34
Last ObjectModification:
2015_12_26-AM-10_17_19
Theory : bar-induction
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