Nuprl Lemma : sq_stable__r2-left
∀a,b,c:ℝ^2. SqStable(r2-left(a;b;c))
Proof
Definitions occuring in Statement :
r2-left: r2-left(p;q;r),
real-vec: ℝ^n,
sq_stable: SqStable(P),
all: ∀x:A. B[x],
natural_number: $n
Definitions unfolded in proof :
r2-left: r2-left(p;q;r),
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
nat: ℕ,
le: A ≤ B,
and: P ∧ Q,
less_than': less_than'(a;b),
false: False,
not: ¬A,
implies: P ⇒ Q,
prop: ℙ
Lemmas referenced :
sq_stable__rless,
int-to-real_wf,
r2-det_wf,
real-vec_wf,
false_wf,
le_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lambdaFormation,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
isectElimination,
natural_numberEquality,
hypothesis,
hypothesisEquality,
dependent_set_memberEquality,
independent_pairFormation
Latex:
\mforall{}a,b,c:\mBbbR{}\^{}2. SqStable(r2-left(a;b;c))
Date html generated:
2017_10_03-AM-11_48_05
Last ObjectModification:
2017_04_11-PM-05_34_24
Theory : reals
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