Nuprl Lemma : baseof_wf
∀[T:Type]. (baseof(T) ∈ Type)
Proof
Definitions occuring in Statement :
baseof: baseof(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
baseof: baseof(T),
all: ∀x:A. B[x],
implies: P ⇒ Q,
prop: ℙ
Lemmas referenced :
unit_wf,
base_wf,
equal_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
isectEquality,
unionEquality,
extract_by_obid,
hypothesis,
hypothesisEquality,
equalityTransitivity,
equalitySymmetry,
thin,
lambdaFormation,
unionElimination,
sqequalHypSubstitution,
isectElimination,
dependent_functionElimination,
independent_functionElimination,
axiomEquality,
universeEquality
Latex:
\mforall{}[T:Type]. (baseof(T) \mmember{} Type)
Date html generated:
2019_06_20-AM-11_18_34
Last ObjectModification:
2018_08_21-PM-01_52_37
Theory : core_2
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