### Nuprl Lemma : stable__eu-between-eq

`∀e:EuclideanStructure. ∀[a,b,c:Point].  Stable{a_b_c}`

Proof

Definitions occuring in Statement :  eu-between-eq: `a_b_c` eu-point: `Point` euclidean-structure: `EuclideanStructure` stable: `Stable{P}` uall: `∀[x:A]. B[x]` all: `∀x:A. B[x]`
Definitions unfolded in proof :  all: `∀x:A. B[x]` uall: `∀[x:A]. B[x]` stable: `Stable{P}` uimplies: `b supposing a` member: `t ∈ T` not: `¬A` implies: `P `` Q` false: `False` prop: `ℙ` iff: `P `⇐⇒` Q` and: `P ∧ Q` rev_implies: `P `` Q` decidable: `Dec(P)` or: `P ∨ Q` cand: `A c∧ B`
Lemmas referenced :  not_wf eu-between-eq_wf eu-between-eq-def and_wf equal_wf eu-point_wf eu-between_wf dneg_elim_a euclidean-structure_wf
Rules used in proof :  sqequalSubstitution sqequalTransitivity computationStep sqequalReflexivity lambdaFormation isect_memberFormation cut introduction sqequalRule sqequalHypSubstitution lambdaEquality dependent_functionElimination thin hypothesisEquality voidElimination lemma_by_obid isectElimination hypothesis rename productElimination independent_functionElimination impliesFunctionality because_Cache promote_hyp inlFormation independent_pairFormation

Latex:
\mforall{}e:EuclideanStructure.  \mforall{}[a,b,c:Point].    Stable\{a\_b\_c\}

Date html generated: 2016_05_18-AM-06_33_02
Last ObjectModification: 2015_12_28-AM-09_28_24

Theory : euclidean!geometry

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