Nuprl Lemma : rv-between_wf
∀[n:ℕ]. ∀[a,b,c:ℝ^n]. (a-b-c ∈ ℙ)
Proof
Definitions occuring in Statement :
rv-between: a-b-c,
real-vec: ℝ^n,
nat: ℕ,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
rv-between: a-b-c,
prop: ℙ,
and: P ∧ Q
Lemmas referenced :
real-vec-between_wf,
real-vec-sep_wf,
real-vec_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
productEquality,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[n:\mBbbN{}]. \mforall{}[a,b,c:\mBbbR{}\^{}n]. (a-b-c \mmember{} \mBbbP{})
Date html generated:
2016_10_26-AM-10_31_39
Last ObjectModification:
2016_09_24-PM-11_29_08
Theory : reals
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