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Step * 1 of Lemma rcos-strictly-decreasing


1. iproper([r0, π])
⊢ d(rcos(x))/dx = λx.-(rsin(x)) on [r0, π]
BY
{ ((InstLemma `derivative_functionality_wrt_subinterval` [⌜(-∞, ∞)⌝]⋅ THENM BHyp -1 )
   THEN Auto
   THEN D 0
   THEN Reduce 0
   THEN Auto) }

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Latex:

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Latex:

1.  iproper([r0,  \mpi{}])
\mvdash{}  d(rcos(x))/dx  =  \mlambda{}x.-(rsin(x))  on  [r0,  \mpi{}]


By

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Latex:
((InstLemma  `derivative\_functionality\_wrt\_subinterval`  [\mkleeneopen{}(-\minfty{},  \minfty{})\mkleeneclose{}]\mcdot{}  THENM  BHyp  -1  )
  THEN  Auto
  THEN  D  0
  THEN  Reduce  0
  THEN  Auto)

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