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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-axsep | Structured version Visualization version Unicode version |
Description: Remove dependency on ax-13 2246 from axsep 4780. (Contributed by BJ, 31-May-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-axsep |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1843 | . . . 4 | |
2 | 1 | bj-axrep5 32792 | . . 3 |
3 | equtr 1948 | . . . . . . . 8 | |
4 | equcomi 1944 | . . . . . . . 8 | |
5 | 3, 4 | syl6 35 | . . . . . . 7 |
6 | 5 | adantrd 484 | . . . . . 6 |
7 | 6 | alrimiv 1855 | . . . . 5 |
8 | 7 | a1d 25 | . . . 4 |
9 | 8 | bj-spimevv 32722 | . . 3 |
10 | 2, 9 | mpg 1724 | . 2 |
11 | an12 838 | . . . . . . 7 | |
12 | 11 | exbii 1774 | . . . . . 6 |
13 | elequ1 1997 | . . . . . . . 8 | |
14 | 13 | anbi1d 741 | . . . . . . 7 |
15 | 14 | equsexvw 1932 | . . . . . 6 |
16 | 12, 15 | bitr3i 266 | . . . . 5 |
17 | 16 | bibi2i 327 | . . . 4 |
18 | 17 | albii 1747 | . . 3 |
19 | 18 | exbii 1774 | . 2 |
20 | 10, 19 | mpbi 220 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wal 1481 wex 1704 |
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-8 1992 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: (None) |
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