Nuprl Lemma : projective-plane-structure_wf
ProjectivePlaneStructure ∈ 𝕌'
Proof
Definitions occuring in Statement :
projective-plane-structure: ProjectivePlaneStructure,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
subtype_rel: A ⊆r B,
exists: ∃x:A. B[x],
and: P ∧ Q,
implies: P ⇒ Q,
or: P ∨ Q,
record+: record+,
prop: ℙ,
so_apply: x[s],
so_lambda: λ2x.t[x],
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
member: t ∈ T,
projective-plane-structure: ProjectivePlaneStructure
Lemmas referenced :
pgeo-incident_wf,
exists_wf,
pgeo-psep_wf,
pgeo-lpsep_wf,
pgeo-lsep_wf,
or_wf,
record+_wf,
pgeo-plsep_wf,
sq_stable_wf,
pgeo-point_wf,
pgeo-line_wf,
all_wf,
pgeo-primitives_wf
Rules used in proof :
universeEquality,
applyEquality,
because_Cache,
productEquality,
functionEquality,
dependentIntersectionEqElimination,
rename,
setElimination,
setEquality,
dependentIntersectionElimination,
tokenEquality,
equalitySymmetry,
equalityTransitivity,
dependent_functionElimination,
lambdaEquality,
sqequalRule,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
cumulativity,
lambdaFormation,
hypothesis,
extract_by_obid,
introduction,
cut,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
ProjectivePlaneStructure \mmember{} \mBbbU{}'
Date html generated:
2018_05_22-PM-00_26_49
Last ObjectModification:
2017_11_26-PM-01_45_04
Theory : euclidean!plane!geometry
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