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Mirrors > Home > ILE Home > Th. List > df-oprab | Unicode version |
Description: Define the class
abstraction (class builder) of a collection of nested
ordered pairs (for use in defining operations). This is a special case
of Definition 4.16 of [TakeutiZaring] p. 14. Normally ![]() ![]() ![]() |
Ref | Expression |
---|---|
df-oprab |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wph |
. . 3
![]() ![]() | |
2 | vx |
. . 3
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3 | vy |
. . 3
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4 | vz |
. . 3
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5 | 1, 2, 3, 4 | coprab 5878 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6 | vw |
. . . . . . . . 9
![]() ![]() | |
7 | 6 | cv 1352 |
. . . . . . . 8
![]() ![]() |
8 | 2 | cv 1352 |
. . . . . . . . . 10
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9 | 3 | cv 1352 |
. . . . . . . . . 10
![]() ![]() |
10 | 8, 9 | cop 3597 |
. . . . . . . . 9
![]() ![]() ![]() ![]() ![]() ![]() |
11 | 4 | cv 1352 |
. . . . . . . . 9
![]() ![]() |
12 | 10, 11 | cop 3597 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | 7, 12 | wceq 1353 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 13, 1 | wa 104 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | 14, 4 | wex 1492 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | 15, 3 | wex 1492 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | 16, 2 | wex 1492 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 17, 6 | cab 2163 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
19 | 5, 18 | wceq 1353 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This definition is referenced by: oprabid 5909 dfoprab2 5924 nfoprab1 5926 nfoprab2 5927 nfoprab3 5928 nfoprab 5929 oprabbid 5930 ssoprab2 5933 mpo0 5947 cbvoprab2 5950 eloprabga 5964 oprabrexex2 6133 eloprabi 6199 cnvoprab 6237 dftpos3 6265 |
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