Nuprl Lemma : almost-positive_wf
∀[x:ℝ]. (almost-positive(x) ∈ ℙ)
Proof
Definitions occuring in Statement :
almost-positive: almost-positive(x),
real: ℝ,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
almost-positive: almost-positive(x)
Lemmas referenced :
not_wf,
rless_wf,
int-to-real_wf,
real_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
natural_numberEquality,
hypothesis,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[x:\mBbbR{}]. (almost-positive(x) \mmember{} \mBbbP{})
Date html generated:
2017_01_09-AM-08_56_15
Last ObjectModification:
2016_11_16-PM-06_29_26
Theory : reals
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