Nuprl Lemma : euclidean-plane_wf
EuclideanPlane ∈ 𝕌'
Proof
Definitions occuring in Statement :
euclidean-plane: EuclideanPlane,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
prop: ℙ,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
member: t ∈ T,
euclidean-plane: EuclideanPlane
Lemmas referenced :
euclidean-plane-structure-subtype,
euclidean-plane-structure_wf
Rules used in proof :
applyEquality,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
cumulativity,
hypothesis,
extract_by_obid,
introduction,
cut,
setEquality,
computationStep,
sqequalTransitivity,
sqequalReflexivity,
sqequalRule,
sqequalSubstitution
Latex:
EuclideanPlane \mmember{} \mBbbU{}'
Date html generated:
2019_10_29-AM-09_13_21
Last ObjectModification:
2019_10_25-PM-00_10_04
Theory : euclidean!plane!geometry
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