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Step * 2 of Lemma radd_rcos_wf


1. x : ℝ
2. addrcos(x) ∈ {f:ℕ+ ⟶ ℤ| f = (x + rcos(x))} 
3. 3-regular-seq(addrcos(x))
⊢ accelerate(3;addrcos(x)) ∈ {y:ℝ| y = (x + rcos(x))} 
BY
{ (Assert accelerate(3;addrcos(x)) ∈ ℝ BY
         (Unfold `req` -2 THEN GenConclTerm ⌜addrcos(x)⌝⋅ THEN Auto)) }

1
1. x : ℝ
2. addrcos(x) ∈ {f:ℕ+ ⟶ ℤ| f = (x + rcos(x))} 
3. 3-regular-seq(addrcos(x))
4. accelerate(3;addrcos(x)) ∈ ℝ
⊢ accelerate(3;addrcos(x)) ∈ {y:ℝ| y = (x + rcos(x))} 

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Latex:

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Latex:

1.  x  :  \mBbbR{}
2.  addrcos(x)  \mmember{}  \{f:\mBbbN{}\msupplus{}  {}\mrightarrow{}  \mBbbZ{}|  f  =  (x  +  rcos(x))\} 
3.  3-regular-seq(addrcos(x))
\mvdash{}  accelerate(3;addrcos(x))  \mmember{}  \{y:\mBbbR{}|  y  =  (x  +  rcos(x))\} 


By

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Latex:
(Assert  accelerate(3;addrcos(x))  \mmember{}  \mBbbR{}  BY
              (Unfold  `req`  -2  THEN  GenConclTerm  \mkleeneopen{}addrcos(x)\mkleeneclose{}\mcdot{}  THEN  Auto))

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