Nuprl Lemma : pgeo-non-trivial
∀g:ProjectivePlaneStructureComplete. ∃p:Point. p ≡ p
Proof
Definitions occuring in Statement :
projective-plane-structure-complete: ProjectivePlaneStructureComplete,
pgeo-peq: a ≡ b,
pgeo-point: Point,
all: ∀x:A. B[x],
exists: ∃x:A. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x]
Lemmas referenced :
projective-plane-structure-complete_wf,
point-exists-axiom_wf
Rules used in proof :
hypothesis,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
cut,
introduction,
lambdaFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}g:ProjectivePlaneStructureComplete. \mexists{}p:Point. p \mequiv{} p
Date html generated:
2018_05_22-PM-00_33_07
Last ObjectModification:
2017_11_27-PM-04_18_32
Theory : euclidean!plane!geometry
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