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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-cbvexdv | Structured version Visualization version Unicode version |
Description: Version of cbvexd 2278 with a dv condition, which does not require ax-13 2246. (Contributed by BJ, 16-Jun-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-cbvaldv.1 | |
bj-cbvaldv.2 | |
bj-cbvaldv.3 |
Ref | Expression |
---|---|
bj-cbvexdv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-cbvaldv.1 | . . . 4 | |
2 | bj-cbvaldv.2 | . . . . 5 | |
3 | 2 | nfnd 1785 | . . . 4 |
4 | bj-cbvaldv.3 | . . . . 5 | |
5 | notbi 309 | . . . . 5 | |
6 | 4, 5 | syl6ib 241 | . . . 4 |
7 | 1, 3, 6 | bj-cbvaldv 32735 | . . 3 |
8 | 7 | notbid 308 | . 2 |
9 | df-ex 1705 | . 2 | |
10 | df-ex 1705 | . 2 | |
11 | 8, 9, 10 | 3bitr4g 303 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 196 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-10 2019 ax-11 2034 ax-12 2047 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-ex 1705 df-nf 1710 |
This theorem is referenced by: bj-cbvexdvav 32742 |
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