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Mirrors > Home > ILE Home > Th. List > Mathboxes > bdinex1 | Unicode version |
Description: Bounded version of inex1 3882. (Contributed by BJ, 13-Nov-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bdinex1.bd |
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bdinex1.1 |
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Ref | Expression |
---|---|
bdinex1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bdinex1.1 |
. . . 4
![]() ![]() ![]() ![]() | |
2 | bdinex1.bd |
. . . . . 6
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3 | 2 | bdeli 9301 |
. . . . 5
![]() ![]() ![]() ![]() |
4 | 3 | bdzfauscl 9345 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
5 | 1, 4 | ax-mp 7 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6 | dfcleq 2031 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
7 | elin 3120 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
8 | 7 | bibi2i 216 |
. . . . . 6
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9 | 8 | albii 1356 |
. . . . 5
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10 | 6, 9 | bitri 173 |
. . . 4
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11 | 10 | exbii 1493 |
. . 3
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12 | 5, 11 | mpbir 134 |
. 2
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13 | 12 | issetri 2558 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 629 ax-5 1333 ax-7 1334 ax-gen 1335 ax-ie1 1379 ax-ie2 1380 ax-8 1392 ax-10 1393 ax-11 1394 ax-i12 1395 ax-bndl 1396 ax-4 1397 ax-17 1416 ax-i9 1420 ax-ial 1424 ax-i5r 1425 ax-ext 2019 ax-bdsep 9339 |
This theorem depends on definitions: df-bi 110 df-tru 1245 df-nf 1347 df-sb 1643 df-clab 2024 df-cleq 2030 df-clel 2033 df-nfc 2164 df-v 2553 df-in 2918 df-bdc 9296 |
This theorem is referenced by: bdinex2 9355 bdinex1g 9356 bdpeano5 9403 |
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