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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-axrep5 | Structured version Visualization version Unicode version |
Description: Remove dependency on ax-13 2246 from axrep5 4776. (Contributed by BJ, 31-May-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-axrep5.1 |
Ref | Expression |
---|---|
bj-axrep5 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.37v 1910 | . . . . 5 | |
2 | impexp 462 | . . . . . . . 8 | |
3 | 2 | albii 1747 | . . . . . . 7 |
4 | 19.21v 1868 | . . . . . . 7 | |
5 | 3, 4 | bitr2i 265 | . . . . . 6 |
6 | 5 | exbii 1774 | . . . . 5 |
7 | 1, 6 | bitr3i 266 | . . . 4 |
8 | 7 | albii 1747 | . . 3 |
9 | nfv 1843 | . . . . 5 | |
10 | bj-axrep5.1 | . . . . 5 | |
11 | 9, 10 | nfan 1828 | . . . 4 |
12 | 11 | bj-axrep4 32791 | . . 3 |
13 | 8, 12 | sylbi 207 | . 2 |
14 | anabs5 851 | . . . . . 6 | |
15 | 14 | exbii 1774 | . . . . 5 |
16 | 15 | bibi2i 327 | . . . 4 |
17 | 16 | albii 1747 | . . 3 |
18 | 17 | exbii 1774 | . 2 |
19 | 13, 18 | sylib 208 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wal 1481 wex 1704 wnf 1708 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-rep 4771 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 |
This theorem is referenced by: bj-axsep 32793 |
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