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Mirrors > Home > ILE Home > Th. List > df-sup | Unicode version |
Description: Define the supremum of
class ![]() ![]() ![]() |
Ref | Expression |
---|---|
df-sup |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA |
. . 3
![]() ![]() | |
2 | cB |
. . 3
![]() ![]() | |
3 | cR |
. . 3
![]() ![]() | |
4 | 1, 2, 3 | csup 6975 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
5 | vx |
. . . . . . . . 9
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6 | 5 | cv 1352 |
. . . . . . . 8
![]() ![]() |
7 | vy |
. . . . . . . . 9
![]() ![]() | |
8 | 7 | cv 1352 |
. . . . . . . 8
![]() ![]() |
9 | 6, 8, 3 | wbr 4000 |
. . . . . . 7
![]() ![]() ![]() ![]() |
10 | 9 | wn 3 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() |
11 | 10, 7, 1 | wral 2455 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | 8, 6, 3 | wbr 4000 |
. . . . . . 7
![]() ![]() ![]() ![]() |
13 | vz |
. . . . . . . . . 10
![]() ![]() | |
14 | 13 | cv 1352 |
. . . . . . . . 9
![]() ![]() |
15 | 8, 14, 3 | wbr 4000 |
. . . . . . . 8
![]() ![]() ![]() ![]() |
16 | 15, 13, 1 | wrex 2456 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | 12, 16 | wi 4 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 17, 7, 2 | wral 2455 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
19 | 11, 18 | wa 104 |
. . . 4
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20 | 19, 5, 2 | crab 2459 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
21 | 20 | cuni 3807 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
22 | 4, 21 | wceq 1353 |
1
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Colors of variables: wff set class |
This definition is referenced by: supeq1 6979 supeq2 6982 supeq3 6983 supeq123d 6984 nfsup 6985 supval2ti 6988 sup00 6996 supex2g 7026 dfinfre 8902 |
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