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Mirrors > Home > HSE Home > Th. List > df-md | Structured version Unicode version |
Description: Define the modular pair relation (on the Hilbert lattice). Definition 1.1 of [MaedaMaeda] p. 1, who use the notation (x,y)M for "the ordered pair <x,y> is a modular pair." See mdbr 25835 for membership relation. (Contributed by NM, 14-Jun-2004.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-md |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cmd 24505 |
. 2
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2 | vx |
. . . . . . 7
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3 | 2 | cv 1369 |
. . . . . 6
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4 | cch 24468 |
. . . . . 6
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5 | 3, 4 | wcel 1758 |
. . . . 5
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6 | vy |
. . . . . . 7
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7 | 6 | cv 1369 |
. . . . . 6
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8 | 7, 4 | wcel 1758 |
. . . . 5
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9 | 5, 8 | wa 369 |
. . . 4
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10 | vz |
. . . . . . . 8
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11 | 10 | cv 1369 |
. . . . . . 7
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12 | 11, 7 | wss 3428 |
. . . . . 6
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13 | chj 24472 |
. . . . . . . . 9
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14 | 11, 3, 13 | co 6192 |
. . . . . . . 8
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15 | 14, 7 | cin 3427 |
. . . . . . 7
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16 | 3, 7 | cin 3427 |
. . . . . . . 8
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17 | 11, 16, 13 | co 6192 |
. . . . . . 7
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18 | 15, 17 | wceq 1370 |
. . . . . 6
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19 | 12, 18 | wi 4 |
. . . . 5
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20 | 19, 10, 4 | wral 2795 |
. . . 4
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21 | 9, 20 | wa 369 |
. . 3
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22 | 21, 2, 6 | copab 4449 |
. 2
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23 | 1, 22 | wceq 1370 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: mdbr 25835 |
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