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Step * 2 1 of Lemma fps-deriv-mul


1. X : Type
2. valueall-type(X)
3. eq : EqDecider(X)
4. r : CRng
5. f : PowerSeries(X;r)
6. g : PowerSeries(X;r)
7. x : X
8. fps-ucont(X;eq;r;f.d(f*g)/dx)
⊢ fps-ucont(X;eq;r;f.(f*dg/dx))
BY
{ (InstLemma `fps-mul-ucont` [⌜X⌝;⌜eq⌝;⌜r⌝;⌜dg/dx⌝]⋅ THEN Auto) }

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Latex:

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Latex:

1.  X  :  Type
2.  valueall-type(X)
3.  eq  :  EqDecider(X)
4.  r  :  CRng
5.  f  :  PowerSeries(X;r)
6.  g  :  PowerSeries(X;r)
7.  x  :  X
8.  fps-ucont(X;eq;r;f.d(f*g)/dx)
\mvdash{}  fps-ucont(X;eq;r;f.(f*dg/dx))


By

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Latex:
(InstLemma  `fps-mul-ucont`  [\mkleeneopen{}X\mkleeneclose{};\mkleeneopen{}eq\mkleeneclose{};\mkleeneopen{}r\mkleeneclose{};\mkleeneopen{}dg/dx\mkleeneclose{}]\mcdot{}  THEN  Auto)

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