Nuprl Lemma : r2-line_wf
r2-line ∈ Type
Proof
Definitions occuring in Statement :
r2-line: r2-line,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
prop: ℙ,
implies: P ⇒ Q,
not: ¬A,
false: False,
less_than': less_than'(a;b),
and: P ∧ Q,
le: A ≤ B,
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
r2-line: r2-line
Lemmas referenced :
real-vec-sep_wf,
le_wf,
false_wf,
real-vec_wf
Rules used in proof :
because_Cache,
hypothesisEquality,
hypothesis,
lambdaFormation,
independent_pairFormation,
natural_numberEquality,
dependent_set_memberEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
introduction,
cut,
productEquality,
computationStep,
sqequalTransitivity,
sqequalReflexivity,
sqequalRule,
sqequalSubstitution
Latex:
r2-line \mmember{} Type
Date html generated:
2018_07_29-AM-09_46_55
Last ObjectModification:
2018_07_02-PM-03_52_13
Theory : reals!model!euclidean!geometry
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