Nuprl Lemma : basic-projective-plane_wf
BasicProjectivePlane ∈ 𝕌'
Proof
Definitions occuring in Statement :
basic-projective-plane: BasicProjectivePlane,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
prop: ℙ,
uimplies: b supposing a,
guard: {T},
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
member: t ∈ T,
basic-projective-plane: BasicProjectivePlane
Lemmas referenced :
pgeo-primitives_wf,
projective-plane-structure_wf,
subtype_rel_transitivity,
projective-plane-structure-complete_subtype,
projective-plane-structure_subtype,
basic-pgeo-axioms_wf,
projective-plane-structure-complete_wf
Rules used in proof :
independent_isectElimination,
instantiate,
applyEquality,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
cumulativity,
hypothesis,
extract_by_obid,
introduction,
cut,
setEquality,
computationStep,
sqequalTransitivity,
sqequalReflexivity,
sqequalRule,
sqequalSubstitution
Latex:
BasicProjectivePlane \mmember{} \mBbbU{}'
Date html generated:
2018_05_22-PM-00_33_46
Last ObjectModification:
2017_11_27-AM-09_19_51
Theory : euclidean!plane!geometry
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