Nuprl Lemma : rv-be_wf
∀[n:ℕ]. ∀[a,b,c:ℝ^n]. (a_b_c ∈ ℙ)
Proof
Definitions occuring in Statement :
rv-be: a_b_c,
real-vec: ℝ^n,
nat: ℕ,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
and: P ∧ Q,
prop: ℙ,
rv-be: a_b_c,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
nat_wf,
real-vec_wf,
rv-between_wf,
real-vec-sep_wf,
not_wf
Rules used in proof :
because_Cache,
isect_memberEquality,
equalitySymmetry,
equalityTransitivity,
axiomEquality,
hypothesis,
hypothesisEquality,
productEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[n:\mBbbN{}]. \mforall{}[a,b,c:\mBbbR{}\^{}n]. (a\_b\_c \mmember{} \mBbbP{})
Date html generated:
2016_10_28-AM-07_38_01
Last ObjectModification:
2016_10_27-PM-01_29_07
Theory : reals
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