Step * 1 of Lemma rsin-strictly-increasing


d(rsin(x))/dx = λx.rcos(x) on (-(π/2), π/2)
BY
((InstLemma `derivative_functionality_wrt_subinterval` [⌜(-∞, ∞)⌝]⋅ THENM BHyp -1 )
   THEN Auto
   THEN 0
   THEN Reduce 0
   THEN Auto) }


Latex:


Latex:

d(rsin(x))/dx  =  \mlambda{}x.rcos(x)  on  (-(\mpi{}/2),  \mpi{}/2)


By


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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