Nuprl Lemma : has-value-wf-base
∀[a:Base]. ((a)↓ ∈ ℙ)
Proof
Definitions occuring in Statement : 
has-value: (a)↓
, 
uall: ∀[x:A]. B[x]
, 
prop: ℙ
, 
member: t ∈ T
, 
base: Base
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
Lemmas referenced : 
base_wf, 
has-value_wf_base
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
isect_memberFormation, 
introduction, 
cut, 
lemma_by_obid, 
sqequalHypSubstitution, 
isectElimination, 
thin, 
hypothesisEquality, 
hypothesis, 
sqequalRule, 
axiomEquality, 
equalityTransitivity, 
equalitySymmetry
Latex:
\mforall{}[a:Base].  ((a)\mdownarrow{}  \mmember{}  \mBbbP{})
Date html generated:
2016_05_15-PM-10_03_44
Last ObjectModification:
2016_01_05-PM-06_25_17
Theory : bar!type
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