Nuprl Lemma : Open_wf
∀[X:Type]. (Open(X) ∈ Type)
Proof
Definitions occuring in Statement :
Open: Open(X),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
Open: Open(X)
Lemmas referenced :
Sierpinski_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
functionEquality,
hypothesisEquality,
lemma_by_obid,
hypothesis,
sqequalHypSubstitution,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[X:Type]. (Open(X) \mmember{} Type)
Date html generated:
2019_10_31-AM-07_18_46
Last ObjectModification:
2015_12_28-AM-11_20_41
Theory : synthetic!topology
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