Nuprl Lemma : sq_stable__rv-be
∀[n:ℕ]. ∀[a,b,c:ℝ^n]. SqStable(a_b_c)
Proof
Definitions occuring in Statement :
rv-be: a_b_c,
real-vec: ℝ^n,
nat: ℕ,
sq_stable: SqStable(P),
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
implies: P ⇒ Q,
sq_stable: SqStable(P),
rv-be: a_b_c,
not: ¬A,
false: False,
and: P ∧ Q,
prop: ℙ
Lemmas referenced :
stable-implies-sq_stable,
rv-be_wf,
stable__rv-be,
real-vec-sep_wf,
not_wf,
rv-between_wf,
squash_wf,
real-vec_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
independent_functionElimination,
sqequalRule,
lambdaEquality,
dependent_functionElimination,
because_Cache,
productEquality,
isect_memberEquality,
voidElimination
Latex:
\mforall{}[n:\mBbbN{}]. \mforall{}[a,b,c:\mBbbR{}\^{}n]. SqStable(a\_b\_c)
Date html generated:
2017_10_03-AM-11_31_16
Last ObjectModification:
2017_08_12-AM-11_42_14
Theory : reals
Home
Index