Step * of Lemma mul_over_minus_fps

No Annotations
[X:Type]
  ∀[eq:EqDecider(X)]. ∀[r:CRng]. ∀[a,b:PowerSeries(X;r)].
    (((-(a)*b) -((a*b)) ∈ PowerSeries(X;r)) ∧ ((a*-(b)) -((a*b)) ∈ PowerSeries(X;r))) 
  supposing valueall-type(X)
BY
(RepeatFor ((D THENA Auto))
   THEN (ProveSpecializedLemmaWReduce rng_times_over_minus) [⌜parm{i}⌝;⌜fps-rng(r)⌝]⋅
   }


Latex:


Latex:
No  Annotations
\mforall{}[X:Type]
    \mforall{}[eq:EqDecider(X)].  \mforall{}[r:CRng].  \mforall{}[a,b:PowerSeries(X;r)].
        (((-(a)*b)  =  -((a*b)))  \mwedge{}  ((a*-(b))  =  -((a*b)))) 
    supposing  valueall-type(X)


By


Latex:
(RepeatFor  3  ((D  0  THENA  Auto))
  THEN  (ProveSpecializedLemmaWReduce  rng\_times\_over\_minus)  1  [\mkleeneopen{}parm\{i\}\mkleeneclose{};\mkleeneopen{}fps-rng(r)\mkleeneclose{}]\mcdot{}
  )




Home Index