Nuprl Lemma : stable__rv-be
∀[n:ℕ]. ∀[a,b,c:ℝ^n]. Stable{a_b_c}
Proof
Definitions occuring in Statement :
rv-be: a_b_c,
real-vec: ℝ^n,
nat: ℕ,
stable: Stable{P},
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
rv-be: a_b_c,
prop: ℙ,
and: P ∧ Q,
stable: Stable{P},
uimplies: b supposing a,
not: ¬A,
implies: P ⇒ Q,
false: False
Lemmas referenced :
stable__not,
real-vec-sep_wf,
not_wf,
rv-between_wf,
rv-be_wf,
real-vec_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
productEquality,
hypothesisEquality,
hypothesis,
isect_memberEquality,
lambdaEquality,
dependent_functionElimination,
because_Cache,
equalityTransitivity,
equalitySymmetry,
voidElimination
Latex:
\mforall{}[n:\mBbbN{}]. \mforall{}[a,b,c:\mBbbR{}\^{}n]. Stable\{a\_b\_c\}
Date html generated:
2017_10_03-AM-11_30_58
Last ObjectModification:
2017_08_11-PM-05_25_53
Theory : reals
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