Nuprl Lemma : sq_stable__pgeo-axioms
∀g:ProjectivePlaneStructure. SqStable(BasicProjectiveGeometryAxioms(g))
Proof
Definitions occuring in Statement :
projective-plane-structure: ProjectivePlaneStructure,
basic-pgeo-axioms: BasicProjectiveGeometryAxioms(g),
sq_stable: SqStable(P),
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
implies: P ⇒ Q
Lemmas referenced :
sq_stable-pgeo-axioms-if,
projective-plane-structure_subtype,
sq_stable__pgeo-plsep,
pgeo-line_wf,
pgeo-point_wf,
projective-plane-structure_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
applyEquality,
hypothesis,
sqequalRule,
independent_functionElimination,
dependent_functionElimination,
because_Cache
Latex:
\mforall{}g:ProjectivePlaneStructure. SqStable(BasicProjectiveGeometryAxioms(g))
Date html generated:
2018_05_22-PM-00_33_17
Last ObjectModification:
2017_10_30-PM-02_21_19
Theory : euclidean!plane!geometry
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