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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-cbv1hv | Structured version Visualization version Unicode version |
Description: Version of cbv1h 2268 with a dv condition, which does not require ax-13 2246. (Contributed by BJ, 16-Jun-2019.) (Proof modification is discouraged.) |
Ref | Expression |
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bj-cbv1hv.1 | |
bj-cbv1hv.2 | |
bj-cbv1hv.3 |
Ref | Expression |
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bj-cbv1hv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfa1 2028 | . 2 | |
2 | nfa2 2040 | . 2 | |
3 | 2sp 2056 | . . . 4 | |
4 | bj-cbv1hv.1 | . . . 4 | |
5 | 3, 4 | syl 17 | . . 3 |
6 | 2, 5 | nf5d 2118 | . 2 |
7 | bj-cbv1hv.2 | . . . 4 | |
8 | 3, 7 | syl 17 | . . 3 |
9 | 1, 8 | nf5d 2118 | . 2 |
10 | bj-cbv1hv.3 | . . 3 | |
11 | 3, 10 | syl 17 | . 2 |
12 | 1, 2, 6, 9, 11 | bj-cbv1v 32729 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wal 1481 |
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-cbv2hv 32731 |
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