Step
*
1
of Lemma
rcos-radd
.....antecedent..... 
1. x : ℝ
2. y : ℝ
⊢ d(rsin(x + y))/dx = λx.rcos(x + y) on (-∞, ∞)
BY
{ (InstLemma `derivative-function-radd-const` [⌜λ2x.rsin(x)⌝;⌜⌜λ2x.rcos(x)⌝⌝]⋅ THEN Auto THEN RWO  "-1" 0 THEN Auto) }
Latex:
Latex:
.....antecedent..... 
1.  x  :  \mBbbR{}
2.  y  :  \mBbbR{}
\mvdash{}  d(rsin(x  +  y))/dx  =  \mlambda{}x.rcos(x  +  y)  on  (-\minfty{},  \minfty{})
By
Latex:
(InstLemma  `derivative-function-radd-const`  [\mkleeneopen{}\mlambda{}\msubtwo{}x.rsin(x)\mkleeneclose{};\mkleeneopen{}\mkleeneopen{}\mlambda{}\msubtwo{}x.rcos(x)\mkleeneclose{}\mkleeneclose{}]\mcdot{}
  THEN  Auto
  THEN  RWO    "-1"  0
  THEN  Auto)
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