Nuprl Lemma : extra-left-axiom_wf
∀[g:GeometryPrimitives]. (extra-left-axiom(g) ∈ ℙ)
Proof
Definitions occuring in Statement :
extra-left-axiom: extra-left-axiom(g),
geo-primitives: GeometryPrimitives,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
extra-left-axiom: extra-left-axiom(g),
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
so_apply: x[s]
Lemmas referenced :
all_wf,
geo-point_wf,
geo-between_wf,
geo-congruent_wf,
geo-sep_wf,
geo-lsep_wf,
geo-primitives_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
lambdaEquality,
because_Cache,
functionEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[g:GeometryPrimitives]. (extra-left-axiom(g) \mmember{} \mBbbP{})
Date html generated:
2017_10_02-PM-03_27_17
Last ObjectModification:
2017_08_09-PM-02_07_50
Theory : euclidean!plane!geometry
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