Nuprl Lemma : fps-coeff_wf
∀[X:Type]. ∀[r:CRng]. ∀[f:PowerSeries(X;r)]. ∀[b:bag(X)]. (f[b] ∈ |r|)
Proof
Definitions occuring in Statement :
fps-coeff: f[b],
power-series: PowerSeries(X;r),
bag: bag(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type,
crng: CRng,
rng_car: |r|
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
fps-coeff: f[b],
power-series: PowerSeries(X;r)
Lemmas referenced :
bag_wf,
power-series_wf,
crng_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
applyEquality,
sqequalHypSubstitution,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
lemma_by_obid,
isectElimination,
thin,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[X:Type]. \mforall{}[r:CRng]. \mforall{}[f:PowerSeries(X;r)]. \mforall{}[b:bag(X)]. (f[b] \mmember{} |r|)
Date html generated:
2016_05_15-PM-08_14_20
Last ObjectModification:
2015_12_27-PM-04_41_02
Theory : power!series
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