Nuprl Lemma : has-valueall_wf_base
∀[a:Base]. (has-valueall(a) ∈ ℙ)
Proof
Definitions occuring in Statement :
has-valueall: has-valueall(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,
has-valueall: has-valueall(a)
Lemmas referenced :
base_wf,
has-value_wf_base
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
baseApply,
closedConclusion,
baseClosed,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[a:Base]. (has-valueall(a) \mmember{} \mBbbP{})
Date html generated:
2016_05_13-PM-03_25_17
Last ObjectModification:
2016_01_14-PM-06_44_51
Theory : call!by!value_1
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