Step
*
of Lemma
mul_zero_fps
No Annotations
∀[X:Type]
∀[eq:EqDecider(X)]. ∀[r:CRng]. ∀[a:PowerSeries(X;r)].
(((0*a) = 0 ∈ PowerSeries(X;r)) ∧ ((a*0) = 0 ∈ PowerSeries(X;r)))
supposing valueall-type(X)
BY
{ (RepeatFor 3 ((D 0 THENA Auto)) THEN (ProveSpecializedLemmaWReduce rng_times_zero) 1 [⌜parm{i}⌝;⌜fps-rng(r)⌝]⋅) }
Latex:
Latex:
No Annotations
\mforall{}[X:Type]
\mforall{}[eq:EqDecider(X)]. \mforall{}[r:CRng]. \mforall{}[a:PowerSeries(X;r)]. (((0*a) = 0) \mwedge{} ((a*0) = 0))
supposing valueall-type(X)
By
Latex:
(RepeatFor 3 ((D 0 THENA Auto))
THEN (ProveSpecializedLemmaWReduce rng\_times\_zero) 1 [\mkleeneopen{}parm\{i\}\mkleeneclose{};\mkleeneopen{}fps-rng(r)\mkleeneclose{}]\mcdot{}
)
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