Nuprl Lemma : q-between_wf
∀[a,b,c:ℚ]. (a < b < c ∈ ℙ)
Proof
Definitions occuring in Statement :
q-between: a < b < c,
rationals: ℚ,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
q-between: a < b < c,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
and_wf,
qless_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 < b < c \mmember{} \mBbbP{})
Date html generated:
2016_05_15-PM-11_05_31
Last ObjectModification:
2015_12_27-PM-07_46_04
Theory : rationals
Home
Index