Nuprl Lemma : hint_wf
∀[t:Type]. ∀[t:t]. (hint(t) ∈ ℙ)
Proof
Definitions occuring in Statement :
hint: hint(t),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
hint: hint(t)
Lemmas referenced :
true_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
hypothesis,
sqequalHypSubstitution,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
hypothesisEquality,
isect_memberEquality,
isectElimination,
thin,
because_Cache,
universeEquality
Latex:
\mforall{}[t:Type]. \mforall{}[t:t]. (hint(t) \mmember{} \mBbbP{})
Date html generated:
2016_05_15-PM-03_18_44
Last ObjectModification:
2015_12_27-PM-01_03_09
Theory : general
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