Nuprl Lemma : isect2_wf
∀[T1,T2:Type]. (T1 ⋂ T2 ∈ Type)
Proof
Definitions occuring in Statement :
isect2: T1 ⋂ T2,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
isect2: T1 ⋂ T2
Lemmas referenced :
bool_wf,
ifthenelse_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
isectEquality,
extract_by_obid,
hypothesis,
thin,
instantiate,
sqequalHypSubstitution,
isectElimination,
hypothesisEquality,
universeEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :inhabitedIsType,
isect_memberEquality,
Error :universeIsType
Latex:
\mforall{}[T1,T2:Type]. (T1 \mcap{} T2 \mmember{} Type)
Date html generated:
2019_06_20-AM-11_32_07
Last ObjectModification:
2018_09_26-AM-11_28_12
Theory : bool_1
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