### 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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