Nuprl Lemma : projective-plane_wf
ProjectivePlane ∈ 𝕌'
Proof
Definitions occuring in Statement :
projective-plane: ProjectivePlane,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
basic-projective-plane: BasicProjectivePlane,
all: ∀x:A. B[x],
prop: ℙ,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
and: P ∧ Q,
member: t ∈ T,
projective-plane: ProjectivePlane
Lemmas referenced :
point-exists-axiom_wf,
triangle-axiom2_wf,
triangle-axiom1_wf,
projective-plane-structure_subtype,
basic-pgeo-axioms_wf,
projective-plane-structure_wf
Rules used in proof :
because_Cache,
dependent_set_memberEquality,
dependent_functionElimination,
universeEquality,
cumulativity,
lambdaEquality,
applyEquality,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
productEquality,
hypothesis,
extract_by_obid,
introduction,
cut,
setEquality,
computationStep,
sqequalTransitivity,
sqequalReflexivity,
sqequalRule,
sqequalSubstitution
Latex:
ProjectivePlane \mmember{} \mBbbU{}'
Date html generated:
2018_05_22-PM-00_40_55
Last ObjectModification:
2017_11_25-AM-11_00_46
Theory : euclidean!plane!geometry
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