Nuprl Lemma : sq_stable__pgeo-plsep
∀p:ProjectivePlaneStructure. ∀a:Point. ∀b:Line. SqStable(pgeo-plsep(p; a; b))
Proof
Definitions occuring in Statement :
projective-plane-structure: ProjectivePlaneStructure,
pgeo-plsep: pgeo-plsep(p; a; b),
pgeo-line: Line,
pgeo-point: Point,
sq_stable: SqStable(P),
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
projective-plane-structure: ProjectivePlaneStructure,
record+: record+,
member: t ∈ T,
record-select: r.x,
subtype_rel: A ⊆r B,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
uall: ∀[x:A]. B[x],
prop: ℙ,
or: P ∨ Q,
implies: P ⇒ Q,
exists: ∃x:A. B[x],
and: P ∧ Q
Latex:
\mforall{}p:ProjectivePlaneStructure. \mforall{}a:Point. \mforall{}b:Line. SqStable(pgeo-plsep(p; a; b))
Date html generated:
2020_05_20-AM-10_36_26
Last ObjectModification:
2019_12_03-AM-09_50_06
Theory : euclidean!plane!geometry
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