Nuprl Lemma : FOStruct_wf
∀[Dom:Type]. (FOStruct(Dom) ∈ 𝕌')
Proof
Definitions occuring in Statement :
FOStruct: FOStruct(Dom),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
FOStruct: FOStruct(Dom),
prop: ℙ
Lemmas referenced :
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
functionEquality,
cumulativity,
atomEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
universeEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[Dom:Type]. (FOStruct(Dom) \mmember{} \mBbbU{}')
Date html generated:
2016_05_15-PM-10_11_59
Last ObjectModification:
2015_12_27-PM-06_33_55
Theory : minimal-first-order-logic
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