Step
*
of Lemma
fps-elim-x-neg
∀[X:Type]. ∀[eq:EqDecider(X)]. ∀[r:CRng]. ∀[x:X]. ∀[g:PowerSeries(X;r)]. (-(g)(x:=0) = -(g(x:=0)) ∈ PowerSeries(X;r))
BY
{ (Auto
THEN BLemma `fps-ext`
THEN Auto
THEN RepUR ``fps-elim-x fps-elim fps-neg fps-coeff`` 0
THEN AutoSplit
THEN RW RngNormC 0
THEN Auto) }
Latex:
Latex:
\mforall{}[X:Type]. \mforall{}[eq:EqDecider(X)]. \mforall{}[r:CRng]. \mforall{}[x:X]. \mforall{}[g:PowerSeries(X;r)]. (-(g)(x:=0) = -(g(x:=0)))
By
Latex:
(Auto
THEN BLemma `fps-ext`
THEN Auto
THEN RepUR ``fps-elim-x fps-elim fps-neg fps-coeff`` 0
THEN AutoSplit
THEN RW RngNormC 0
THEN Auto)
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