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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdbm1.3ii | Unicode version |
Description: Bounded version of bm1.3ii 4057. (Contributed by BJ, 5-Oct-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bdbm1.3ii.bd |
![]() ![]() |
bdbm1.3ii.1 |
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Ref | Expression |
---|---|
bdbm1.3ii |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdbm1.3ii.1 |
. . . . 5
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2 | elequ2 1692 |
. . . . . . . 8
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3 | 2 | imbi2d 229 |
. . . . . . 7
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4 | 3 | albidv 1797 |
. . . . . 6
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5 | 4 | cbvexv 1891 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6 | 1, 5 | mpbi 144 |
. . . 4
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7 | bdbm1.3ii.bd |
. . . . 5
![]() ![]() | |
8 | 7 | bdsep1 13254 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | 6, 8 | pm3.2i 270 |
. . 3
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10 | 9 | exan 1672 |
. 2
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11 | 19.42v 1879 |
. . . 4
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12 | bimsc1 948 |
. . . . . 6
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13 | 12 | alanimi 1436 |
. . . . 5
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14 | 13 | eximi 1580 |
. . . 4
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15 | 11, 14 | sylbir 134 |
. . 3
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16 | 15 | exlimiv 1578 |
. 2
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17 | 10, 16 | ax-mp 5 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-4 1488 ax-14 1493 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-bdsep 13253 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: bj-zfpair2 13279 bj-axun2 13284 bj-uniex2 13285 |
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