---

Step * 1 1 of Lemma cosine0

.....assertion..... 
1. Σi.-1^i * (r0^2 * i)/(2 * i)! = cosine(r0)
⊢ Σi.-1^i * (r0^2 * i)/(2 * i)! = r1
BY
{ (Assert ⌜Σi.if (i =z 0) then r1 else r0 fi  = r1⌝⋅ THENA Auto) }

1
1. Σi.-1^i * (r0^2 * i)/(2 * i)! = cosine(r0)
2. Σi.if (i =z 0) then r1 else r0 fi  = r1
⊢ Σi.-1^i * (r0^2 * i)/(2 * i)! = r1

---

Latex:

---

Latex:
.....assertion..... 
1.  \mSigma{}i.-1\^{}i  *  (r0\^{}2  *  i)/(2  *  i)!  =  cosine(r0)
\mvdash{}  \mSigma{}i.-1\^{}i  *  (r0\^{}2  *  i)/(2  *  i)!  =  r1


By

---

Latex:
(Assert  \mkleeneopen{}\mSigma{}i.if  (i  =\msubz{}  0)  then  r1  else  r0  fi    =  r1\mkleeneclose{}\mcdot{}  THENA  Auto)

---

Home Index