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Schröder, Ernst: Vorlesungen über die Algebra der Logik. Bd. 2, Abt. 1. Leipzig, 1891.

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21 = 4 + 6 = (h k1 + h1 k) l1 = h k1 n1 + h1 k m1108 = 2 + 3 + 5 + 7 + 8 = h k + (h1 k1 + l) a = h k + h n + k m + h1 k1 a
22 = 4 + 7 = k1 (h l1 + h1 l a) = k1 (h n1 + h1 l a)107 = 2 + 3 + 5 + 6 + 8 = k + h l + h1 l1 a = k + h n + h1 l1 a
23 = 4 + 8 = k1 l1 a106 = 2 + 3 + 5 + 6 + 7 = k + l a
24 = 5 + 6 = h1 k105 = 2 + 3 + 4 + 7 + 8 = h + k1 a
25 = 5 + 7 = h1 l a104 = 2 + 3 + 4 + 6 + 8 = h + l1 a
26 = 5 + 8 = k l + h1 k1 l1 a = k m + h1 k1 l1 a103 = 2 + 3 + 4 + 6 + 7 = k1 l a + (h + k) l1 = h + k m1 + k1 l a
27 = 6 + 7 = h1 (k l1 + k1 l a) = h1 (k m1 + k1 l a)102 = 2 + 3 + 4 + 5 + 8 = h + k l + k1 l1 a = h + k m + k1 l1 a
28 = 6 + 8 = h1 l1 a101 = 2 + 3 + 4 + 5 + 7 = h + l a
29 = 7 + 8 = h1 k1 a100 = 2 + 3 + 4 + 5 + 6 = h + k
30 = 2 + 3 + 4 = h99 = 5 + 6 + 7 + 8 = h1 a
31 = 2 + 3 + 5 = h k + (h + k) l = h k + h n + k m98 = 4 + 6 + 7 + 8 = {h1 k1 + (h1 + k1) l1} a = h k1 n1 + h1 k m1 + h1 k1 a
32 = 2 + 3 + 6 = h l + k l1 = h n + k m197 = 4 + 5 + 7 + 8 = (h1 l + k1 l1) a = k m + h k1 n1 + h1 k1 a
33 = 2 + 3 + 7 = h k + k1 l a96 = 4 + 5 + 6 + 8 = h1 k + k1 l1 a
34 = 2 + 3 + 8 = h (k + l) + h1 k1 l1 a = h (k + n) + h1 k1 l1 a95 = 4 + 5 + 6 + 7 = h1 (k + l a) + h k1 l1 = h1 k + h k1 n1 + h1 l a
35 = 2 + 4 + 5 = h l1 + k l = h n1 + k m94 = 3 + 6 + 7 + 8 = (h1 l1 + k1 l) a = h n + h1 k m1 + h1 k1 a
36 = 2 + 4 + 6 = (h + k) l1 = h n1 + k m193 = 3 + 5 + 7 + 8 = (h1 k1 + l) a = h n + k m + h1 k1 a
37 = 2 + 4 + 7 = h l1 + h1 k1 l a = h n1 + h1 k1 l a92 = 3 + 5 + 6 + 8 = h l + h1 (k + l1 a) = h n + h1 (k + l1 a)
38 = 2 + 4 + 8 = (h + k1 a) l1 = h n1 + k1 l1 a91 = 3 + 5 + 6 + 7 = h1 k + l a
39 = 2 + 5 + 6 = k90 = 3 + 4 + 7 + 8 = k1 a
40 = 2 + 5 + 7 = h k + h1 l a89 = 3 + 4 + 6 + 8 = h k1 + h1 l1 a
41 = 2 + 5 + 8 = k (h + l) + h1 k1 l1 a = k (h + m) + h1 k1 l1 a88 = 3 + 4 + 6 + 7 = k1 (h + l a) + h1 k l1 = h k1 + h1 k m1 + k1 l a
42 = 2 + 6 + 7 = k l1 + h1 k1 l a = k m1 + h1 k1 l a87 = 3 + 4 + 5 + 8 = k l + k1 (h + l1 a) = k m + k1 (h + l1 a)
21 = 4 + 6 = (h k1 + h1 k) l1 = h k1 n1 + h1 k m1108 = 2 + 3 + 5 + 7 + 8 = h k + (h1 k1 + l) a = h k + h n + k m + h1 k1 a
22 = 4 + 7 = k1 (h l1 + h1 l a) = k1 (h n1 + h1 l a)107 = 2 + 3 + 5 + 6 + 8 = k + h l + h1 l1 a = k + h n + h1 l1 a
23 = 4 + 8 = k1 l1 a106 = 2 + 3 + 5 + 6 + 7 = k + l a
24 = 5 + 6 = h1 k105 = 2 + 3 + 4 + 7 + 8 = h + k1 a
25 = 5 + 7 = h1 l a104 = 2 + 3 + 4 + 6 + 8 = h + l1 a
26 = 5 + 8 = k l + h1 k1 l1 a = k m + h1 k1 l1 a103 = 2 + 3 + 4 + 6 + 7 = k1 l a + (h + k) l1 = h + k m1 + k1 l a
27 = 6 + 7 = h1 (k l1 + k1 l a) = h1 (k m1 + k1 l a)102 = 2 + 3 + 4 + 5 + 8 = h + k l + k1 l1 a = h + k m + k1 l1 a
28 = 6 + 8 = h1 l1 a101 = 2 + 3 + 4 + 5 + 7 = h + l a
29 = 7 + 8 = h1 k1 a100 = 2 + 3 + 4 + 5 + 6 = h + k
30 = 2 + 3 + 4 = h99 = 5 + 6 + 7 + 8 = h1 a
31 = 2 + 3 + 5 = h k + (h + k) l = h k + h n + k m98 = 4 + 6 + 7 + 8 = {h1 k1 + (h1 + k1) l1} a = h k1 n1 + h1 k m1 + h1 k1 a
32 = 2 + 3 + 6 = h l + k l1 = h n + k m197 = 4 + 5 + 7 + 8 = (h1 l + k1 l1) a = k m + h k1 n1 + h1 k1 a
33 = 2 + 3 + 7 = h k + k1 l a96 = 4 + 5 + 6 + 8 = h1 k + k1 l1 a
34 = 2 + 3 + 8 = h (k + l) + h1 k1 l1 a = h (k + n) + h1 k1 l1 a95 = 4 + 5 + 6 + 7 = h1 (k + l a) + h k1 l1 = h1 k + h k1 n1 + h1 l a
35 = 2 + 4 + 5 = h l1 + k l = h n1 + k m94 = 3 + 6 + 7 + 8 = (h1 l1 + k1 l) a = h n + h1 k m1 + h1 k1 a
36 = 2 + 4 + 6 = (h + k) l1 = h n1 + k m193 = 3 + 5 + 7 + 8 = (h1 k1 + l) a = h n + k m + h1 k1 a
37 = 2 + 4 + 7 = h l1 + h1 k1 l a = h n1 + h1 k1 l a92 = 3 + 5 + 6 + 8 = h l + h1 (k + l1 a) = h n + h1 (k + l1 a)
38 = 2 + 4 + 8 = (h + k1 a) l1 = h n1 + k1 l1 a91 = 3 + 5 + 6 + 7 = h1 k + l a
39 = 2 + 5 + 6 = k90 = 3 + 4 + 7 + 8 = k1 a
40 = 2 + 5 + 7 = h k + h1 l a89 = 3 + 4 + 6 + 8 = h k1 + h1 l1 a
41 = 2 + 5 + 8 = k (h + l) + h1 k1 l1 a = k (h + m) + h1 k1 l1 a88 = 3 + 4 + 6 + 7 = k1 (h + l a) + h1 k l1 = h k1 + h1 k m1 + k1 l a
42 = 2 + 6 + 7 = k l1 + h1 k1 l a = k m1 + h1 k1 l a87 = 3 + 4 + 5 + 8 = k l + k1 (h + l1 a) = k m + k1 (h + l1 a)
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              <pb facs="#f0176" n="152"/>
              <fw place="top" type="header">Achtzehnte Vorlesung.</fw><lb/>
              <row>
                <cell>21 = 4 + 6 = (<hi rendition="#i">h k</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi>) <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">h k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">n</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k m</hi><hi rendition="#sub">1</hi></cell>
                <cell>108 = 2 + 3 + 5 + 7 + 8 = <hi rendition="#i">h k</hi> + (<hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">l</hi>) <hi rendition="#i">a</hi> = <hi rendition="#i">h k</hi> + <hi rendition="#i">h n</hi> + <hi rendition="#i">k m</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
              </row><lb/>
              <row>
                <cell>22 = 4 + 7 = <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">h l</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi>) = <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">h n</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi>)</cell>
                <cell>107 = 2 + 3 + 5 + 6 + 8 = <hi rendition="#i">k</hi> + <hi rendition="#i">h l</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi> = <hi rendition="#i">k</hi> + <hi rendition="#i">h n</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
              </row><lb/>
              <row>
                <cell>23 = 4 + 8 = <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
                <cell>106 = 2 + 3 + 5 + 6 + 7 = <hi rendition="#i">k</hi> + <hi rendition="#i">l a</hi></cell>
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              <row>
                <cell>24 = 5 + 6 = <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi></cell>
                <cell>105 = 2 + 3 + 4 + 7 + 8 = <hi rendition="#i">h</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
              </row><lb/>
              <row>
                <cell>25 = 5 + 7 = <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi></cell>
                <cell>104 = 2 + 3 + 4 + 6 + 8 = <hi rendition="#i">h</hi> + <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
              </row><lb/>
              <row>
                <cell>26 = 5 + 8 = <hi rendition="#i">k l</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi> = <hi rendition="#i">k m</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
                <cell>103 = 2 + 3 + 4 + 6 + 7 = <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi> + (<hi rendition="#i">h</hi> + <hi rendition="#i">k</hi>) <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">h</hi> + <hi rendition="#i">k m</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi></cell>
              </row><lb/>
              <row>
                <cell>27 = 6 + 7 = <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">k l</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi>) = <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">k m</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi>)</cell>
                <cell>102 = 2 + 3 + 4 + 5 + 8 = <hi rendition="#i">h</hi> + <hi rendition="#i">k l</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi> = <hi rendition="#i">h</hi> + <hi rendition="#i">k m</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
              </row><lb/>
              <row>
                <cell>28 = 6 + 8 = <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
                <cell>101 = 2 + 3 + 4 + 5 + 7 = <hi rendition="#i">h</hi> + <hi rendition="#i">l a</hi></cell>
              </row><lb/>
              <row>
                <cell>29 = 7 + 8 = <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
                <cell>100 = 2 + 3 + 4 + 5 + 6 = <hi rendition="#i">h</hi> + <hi rendition="#i">k</hi></cell>
              </row><lb/>
              <row>
                <cell>30 = 2 + 3 + 4 = <hi rendition="#i">h</hi></cell>
                <cell>99 = 5 + 6 + 7 + 8 = <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
              </row><lb/>
              <row>
                <cell>31 = 2 + 3 + 5 = <hi rendition="#i">h k</hi> + (<hi rendition="#i">h</hi> + <hi rendition="#i">k</hi>) <hi rendition="#i">l</hi> = <hi rendition="#i">h k</hi> + <hi rendition="#i">h n</hi> + <hi rendition="#i">k m</hi></cell>
                <cell>98 = 4 + 6 + 7 + 8 = {<hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> + (<hi rendition="#i">h</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi>) <hi rendition="#i">l</hi><hi rendition="#sub">1</hi>} <hi rendition="#i">a</hi> = <hi rendition="#i">h k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">n</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k m</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
              </row><lb/>
              <row>
                <cell>32 = 2 + 3 + 6 = <hi rendition="#i">h l</hi> + <hi rendition="#i">k l</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">h n</hi> + <hi rendition="#i">k m</hi><hi rendition="#sub">1</hi></cell>
                <cell>97 = 4 + 5 + 7 + 8 = (<hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi>) <hi rendition="#i">a</hi> = <hi rendition="#i">k m</hi> + <hi rendition="#i">h k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">n</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
              </row><lb/>
              <row>
                <cell>33 = 2 + 3 + 7 = <hi rendition="#i">h k</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi></cell>
                <cell>96 = 4 + 5 + 6 + 8 = <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
              </row><lb/>
              <row>
                <cell>34 = 2 + 3 + 8 = <hi rendition="#i">h</hi> (<hi rendition="#i">k</hi> + <hi rendition="#i">l</hi>) + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi> = <hi rendition="#i">h</hi> (<hi rendition="#i">k</hi> + <hi rendition="#i">n</hi>) + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
                <cell>95 = 4 + 5 + 6 + 7 = <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">k</hi> + <hi rendition="#i">l a</hi>) + <hi rendition="#i">h k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi> + <hi rendition="#i">h k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">n</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi></cell>
              </row><lb/>
              <row>
                <cell>35 = 2 + 4 + 5 = <hi rendition="#i">h l</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">k l</hi> = <hi rendition="#i">h n</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">k m</hi></cell>
                <cell>94 = 3 + 6 + 7 + 8 = (<hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi>) <hi rendition="#i">a</hi> = <hi rendition="#i">h n</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k m</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
              </row><lb/>
              <row>
                <cell>36 = 2 + 4 + 6 = (<hi rendition="#i">h</hi> + <hi rendition="#i">k</hi>) <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">h n</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">k m</hi><hi rendition="#sub">1</hi></cell>
                <cell>93 = 3 + 5 + 7 + 8 = (<hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">l</hi>) <hi rendition="#i">a</hi> = <hi rendition="#i">h n</hi> + <hi rendition="#i">k m</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
              </row><lb/>
              <row>
                <cell>37 = 2 + 4 + 7 = <hi rendition="#i">h l</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi> = <hi rendition="#i">h n</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi></cell>
                <cell>92 = 3 + 5 + 6 + 8 = <hi rendition="#i">h l</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">k</hi> + <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi>) = <hi rendition="#i">h n</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">k</hi> + <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi>)</cell>
              </row><lb/>
              <row>
                <cell>38 = 2 + 4 + 8 = (<hi rendition="#i">h</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi>) <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">h n</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
                <cell>91 = 3 + 5 + 6 + 7 = <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi> + <hi rendition="#i">l a</hi></cell>
              </row><lb/>
              <row>
                <cell>39 = 2 + 5 + 6 = <hi rendition="#i">k</hi></cell>
                <cell>90 = 3 + 4 + 7 + 8 = <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
              </row><lb/>
              <row>
                <cell>40 = 2 + 5 + 7 = <hi rendition="#i">h k</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi></cell>
                <cell>89 = 3 + 4 + 6 + 8 = <hi rendition="#i">h k</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
              </row><lb/>
              <row>
                <cell>41 = 2 + 5 + 8 = <hi rendition="#i">k</hi> (<hi rendition="#i">h</hi> + <hi rendition="#i">l</hi>) + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi> = <hi rendition="#i">k</hi> (<hi rendition="#i">h</hi> + <hi rendition="#i">m</hi>) + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi></cell>
                <cell>88 = 3 + 4 + 6 + 7 = <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">h</hi> + <hi rendition="#i">l a</hi>) + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k l</hi><hi rendition="#sub">1</hi> = <hi rendition="#i">h k</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k m</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi></cell>
              </row><lb/>
              <row>
                <cell>42 = 2 + 6 + 7 = <hi rendition="#i">k l</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi> = <hi rendition="#i">k m</hi><hi rendition="#sub">1</hi> + <hi rendition="#i">h</hi><hi rendition="#sub">1</hi> <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> <hi rendition="#i">l a</hi></cell>
                <cell>87 = 3 + 4 + 5 + 8 = <hi rendition="#i">k l</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">h</hi> + <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi>) = <hi rendition="#i">k m</hi> + <hi rendition="#i">k</hi><hi rendition="#sub">1</hi> (<hi rendition="#i">h</hi> + <hi rendition="#i">l</hi><hi rendition="#sub">1</hi> <hi rendition="#i">a</hi>)</cell>
              </row><lb/>
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[152/0176] Achtzehnte Vorlesung. 21 = 4 + 6 = (h k1 + h1 k) l1 = h k1 n1 + h1 k m1 108 = 2 + 3 + 5 + 7 + 8 = h k + (h1 k1 + l) a = h k + h n + k m + h1 k1 a 22 = 4 + 7 = k1 (h l1 + h1 l a) = k1 (h n1 + h1 l a) 107 = 2 + 3 + 5 + 6 + 8 = k + h l + h1 l1 a = k + h n + h1 l1 a 23 = 4 + 8 = k1 l1 a 106 = 2 + 3 + 5 + 6 + 7 = k + l a 24 = 5 + 6 = h1 k 105 = 2 + 3 + 4 + 7 + 8 = h + k1 a 25 = 5 + 7 = h1 l a 104 = 2 + 3 + 4 + 6 + 8 = h + l1 a 26 = 5 + 8 = k l + h1 k1 l1 a = k m + h1 k1 l1 a 103 = 2 + 3 + 4 + 6 + 7 = k1 l a + (h + k) l1 = h + k m1 + k1 l a 27 = 6 + 7 = h1 (k l1 + k1 l a) = h1 (k m1 + k1 l a) 102 = 2 + 3 + 4 + 5 + 8 = h + k l + k1 l1 a = h + k m + k1 l1 a 28 = 6 + 8 = h1 l1 a 101 = 2 + 3 + 4 + 5 + 7 = h + l a 29 = 7 + 8 = h1 k1 a 100 = 2 + 3 + 4 + 5 + 6 = h + k 30 = 2 + 3 + 4 = h 99 = 5 + 6 + 7 + 8 = h1 a 31 = 2 + 3 + 5 = h k + (h + k) l = h k + h n + k m 98 = 4 + 6 + 7 + 8 = {h1 k1 + (h1 + k1) l1} a = h k1 n1 + h1 k m1 + h1 k1 a 32 = 2 + 3 + 6 = h l + k l1 = h n + k m1 97 = 4 + 5 + 7 + 8 = (h1 l + k1 l1) a = k m + h k1 n1 + h1 k1 a 33 = 2 + 3 + 7 = h k + k1 l a 96 = 4 + 5 + 6 + 8 = h1 k + k1 l1 a 34 = 2 + 3 + 8 = h (k + l) + h1 k1 l1 a = h (k + n) + h1 k1 l1 a 95 = 4 + 5 + 6 + 7 = h1 (k + l a) + h k1 l1 = h1 k + h k1 n1 + h1 l a 35 = 2 + 4 + 5 = h l1 + k l = h n1 + k m 94 = 3 + 6 + 7 + 8 = (h1 l1 + k1 l) a = h n + h1 k m1 + h1 k1 a 36 = 2 + 4 + 6 = (h + k) l1 = h n1 + k m1 93 = 3 + 5 + 7 + 8 = (h1 k1 + l) a = h n + k m + h1 k1 a 37 = 2 + 4 + 7 = h l1 + h1 k1 l a = h n1 + h1 k1 l a 92 = 3 + 5 + 6 + 8 = h l + h1 (k + l1 a) = h n + h1 (k + l1 a) 38 = 2 + 4 + 8 = (h + k1 a) l1 = h n1 + k1 l1 a 91 = 3 + 5 + 6 + 7 = h1 k + l a 39 = 2 + 5 + 6 = k 90 = 3 + 4 + 7 + 8 = k1 a 40 = 2 + 5 + 7 = h k + h1 l a 89 = 3 + 4 + 6 + 8 = h k1 + h1 l1 a 41 = 2 + 5 + 8 = k (h + l) + h1 k1 l1 a = k (h + m) + h1 k1 l1 a 88 = 3 + 4 + 6 + 7 = k1 (h + l a) + h1 k l1 = h k1 + h1 k m1 + k1 l a 42 = 2 + 6 + 7 = k l1 + h1 k1 l a = k m1 + h1 k1 l a 87 = 3 + 4 + 5 + 8 = k l + k1 (h + l1 a) = k m + k1 (h + l1 a)

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URL zu diesem Werk: https://www.deutschestextarchiv.de/schroeder_logik0201_1891
URL zu dieser Seite: https://www.deutschestextarchiv.de/schroeder_logik0201_1891/176
Zitationshilfe: Schröder, Ernst: Vorlesungen über die Algebra der Logik. Bd. 2, Abt. 1. Leipzig, 1891, S. 152. In: Deutsches Textarchiv <https://www.deutschestextarchiv.de/schroeder_logik0201_1891/176>, abgerufen am 23.04.2024.