Nuprl Lemma : r2-line-eq_wf
∀l,m:r2-line. (r2-line-eq(l;m) ∈ ℙ)
Proof
Definitions occuring in Statement :
r2-line-eq: r2-line-eq(l;m),
r2-line: r2-line,
prop: ℙ,
all: ∀x:A. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
r2-line-eq: r2-line-eq(l;m),
member: t ∈ T,
all: ∀x:A. B[x]
Lemmas referenced :
r2-line_wf,
r2-line-sep_wf,
not_wf
Rules used in proof :
hypothesis,
hypothesisEquality,
dependent_functionElimination,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
introduction,
sqequalRule,
cut,
lambdaFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}l,m:r2-line. (r2-line-eq(l;m) \mmember{} \mBbbP{})
Date html generated:
2018_07_29-AM-09_47_03
Last ObjectModification:
2018_07_02-PM-04_07_28
Theory : reals!model!euclidean!geometry
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