Nuprl Lemma : projective-plane-structure-complete_wf
ProjectivePlaneStructureComplete ∈ 𝕌'
Proof
Definitions occuring in Statement : 
projective-plane-structure-complete: ProjectivePlaneStructureComplete
, 
member: t ∈ T
, 
universe: Type
Definitions unfolded in proof : 
prop: ℙ
, 
exists: ∃x:A. B[x]
, 
so_apply: x[s]
, 
so_lambda: λ2x.t[x]
, 
subtype_rel: A ⊆r B
, 
uall: ∀[x:A]. B[x]
, 
all: ∀x:A. B[x]
, 
member: t ∈ T
, 
projective-plane-structure-complete: ProjectivePlaneStructureComplete
Lemmas referenced : 
record+_wf, 
pgeo-plsep_wf, 
pgeo-line_wf, 
projective-plane-structure_subtype, 
pgeo-point_wf, 
exists_wf, 
projective-plane-structure_wf
Rules used in proof : 
tokenEquality, 
equalitySymmetry, 
equalityTransitivity, 
dependent_functionElimination, 
because_Cache, 
lambdaEquality, 
sqequalRule, 
applyEquality, 
hypothesisEquality, 
thin, 
isectElimination, 
sqequalHypSubstitution, 
cumulativity, 
lambdaFormation, 
hypothesis, 
extract_by_obid, 
introduction, 
cut, 
sqequalReflexivity, 
computationStep, 
sqequalTransitivity, 
sqequalSubstitution
Latex:
ProjectivePlaneStructureComplete  \mmember{}  \mBbbU{}'
Date html generated:
2018_05_22-PM-00_27_16
Last ObjectModification:
2017_11_26-PM-01_48_51
Theory : euclidean!plane!geometry
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