Nuprl Lemma : fps-moebius_wf
∀[X:Type]. ∀[eq:EqDecider(X)]. ∀[r:CRng]. (fps-moebius(eq;r) ∈ PowerSeries(X;r))
Proof
Definitions occuring in Statement :
fps-moebius: fps-moebius(eq;r),
power-series: PowerSeries(X;r),
deq: EqDecider(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type,
crng: CRng
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
fps-moebius: fps-moebius(eq;r),
power-series: PowerSeries(X;r),
has-value: (a)↓,
uimplies: b supposing a,
crng: CRng
Lemmas referenced :
value-type-has-value,
int-value-type,
bag-moebius_wf,
int-to-ring_wf,
bag_wf,
crng_wf,
deq_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lambdaEquality,
callbyvalueReduce,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
intEquality,
independent_isectElimination,
hypothesis,
hypothesisEquality,
setElimination,
rename,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[X:Type]. \mforall{}[eq:EqDecider(X)]. \mforall{}[r:CRng]. (fps-moebius(eq;r) \mmember{} PowerSeries(X;r))
Date html generated:
2016_05_15-PM-09_48_53
Last ObjectModification:
2015_12_27-PM-04_40_42
Theory : power!series
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