Formalization of Integral Linear Space1

نویسندگان

  • Yuichi Futa
  • Hiroyuki Okazaki
  • Yasunari Shidama
چکیده

(1) Let X be a real linear space and R1, R2 be finite sequences of elements of X. If lenR1 = lenR2, then ∑ (R1 +R2) = ∑ R1 + ∑ R2. (2) Let X be a real linear space and R1, R2, R3 be finite sequences of elements of X. If lenR1 = lenR2 and R3 = R1−R2, then ∑ R3 = ∑ R1− ∑ R2. (3) Let X be a real linear space, R1, R2 be finite sequences of elements of X, and a be an element of R. If R2 = aR1, then ∑ R2 = a · ∑ R1.

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تاریخ انتشار 2011