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Mirrors > Home > NFE Home > Th. List > df-op | Unicode version |
Description: Define the type-level ordered pair. Definition from [Rosser] p. 281. (Contributed by SF, 3-Feb-2015.) |
Ref | Expression |
---|---|
df-op |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA |
. . 3
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2 | cB |
. . 3
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3 | 1, 2 | cop 4562 |
. 2
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4 | vx |
. . . . . . 7
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5 | 4 | cv 1641 |
. . . . . 6
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6 | vy |
. . . . . . . 8
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7 | 6 | cv 1641 |
. . . . . . 7
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8 | 7 | cphi 4563 |
. . . . . 6
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9 | 5, 8 | wceq 1642 |
. . . . 5
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10 | 9, 6, 1 | wrex 2616 |
. . . 4
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11 | 10, 4 | cab 2339 |
. . 3
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12 | c0c 4375 |
. . . . . . . 8
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13 | 12 | csn 3738 |
. . . . . . 7
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14 | 8, 13 | cun 3208 |
. . . . . 6
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15 | 5, 14 | wceq 1642 |
. . . . 5
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16 | 15, 6, 2 | wrex 2616 |
. . . 4
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17 | 16, 4 | cab 2339 |
. . 3
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18 | 11, 17 | cun 3208 |
. 2
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19 | 3, 18 | wceq 1642 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: dfop2 4576 proj1op 4601 proj2op 4602 nfop 4605 eqop 4612 opeq 4620 dfswap2 4742 |
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