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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