Nuprl Lemma : geo-primitives_wf
GeometryPrimitives ∈ 𝕌'
Proof
Definitions occuring in Statement :
geo-primitives: GeometryPrimitives,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
prop: ℙ,
btrue: tt,
ifthenelse: if b then t else f fi ,
eq_atom: x =a y,
subtype_rel: A ⊆r B,
record-select: r.x,
record+: record+,
all: ∀x:A. B[x],
so_apply: x[s],
so_lambda: λ2x.t[x],
uall: ∀[x:A]. B[x],
member: t ∈ T,
geo-point: Point,
geo-primitives: GeometryPrimitives
Lemmas referenced :
record-select_wf,
istype-universe,
record+_wf,
istype-atom,
top_wf,
record_wf
Rules used in proof :
dependentIntersectionEqElimination,
functionEquality,
instantiate,
applyEquality,
dependentIntersectionElimination,
tokenEquality,
equalitySymmetry,
equalityTransitivity,
hypothesisEquality,
dependent_functionElimination,
universeIsType,
universeEquality,
lambdaFormation_alt,
hypothesis,
cumulativity,
lambdaEquality_alt,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
introduction,
cut,
sqequalRule,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
GeometryPrimitives \mmember{} \mBbbU{}'
Date html generated:
2019_10_29-AM-09_11_49
Last ObjectModification:
2019_10_25-PM-00_57_32
Theory : euclidean!plane!geometry
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