Nuprl Lemma : rv-between-symmetry
∀n:ℕ. ∀a,b,c:ℝ^n. (a-b-c ⇒ c-b-a)
Proof
Definitions occuring in Statement :
rv-between: a-b-c,
real-vec: ℝ^n,
nat: ℕ,
all: ∀x:A. B[x],
implies: P ⇒ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
implies: P ⇒ Q,
rv-between: a-b-c,
and: P ∧ Q,
cand: A c∧ B,
member: t ∈ T,
iff: P ⇐⇒ Q,
prop: ℙ,
uall: ∀[x:A]. B[x]
Lemmas referenced :
real-vec-between-symmetry,
real-vec-sep-symmetry,
rv-between_wf,
real-vec_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
sqequalHypSubstitution,
productElimination,
thin,
cut,
introduction,
extract_by_obid,
dependent_functionElimination,
hypothesisEquality,
independent_functionElimination,
hypothesis,
independent_pairFormation,
because_Cache,
isectElimination
Latex:
\mforall{}n:\mBbbN{}. \mforall{}a,b,c:\mBbbR{}\^{}n. (a-b-c {}\mRightarrow{} c-b-a)
Date html generated:
2017_10_03-AM-11_09_03
Last ObjectModification:
2017_07_28-AM-08_23_05
Theory : reals
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