Nuprl Lemma : qbetween_wf
∀[a,b,c:ℚ]. (a ≤ b ≤ c ∈ ℙ)
Proof
Definitions occuring in Statement :
qbetween: a ≤ b ≤ c,
rationals: ℚ,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
qbetween: a ≤ b ≤ c,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
and_wf,
qle_wf,
rationals_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[a,b,c:\mBbbQ{}]. (a \mleq{} b \mleq{} c \mmember{} \mBbbP{})
Date html generated:
2016_05_15-PM-11_05_22
Last ObjectModification:
2015_12_27-PM-07_45_59
Theory : rationals
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