Description: Version of cbvexd with a disjoint variable condition, which does not require ax-13 . (Contributed by BJ, 16-Jun-2019) (Proof modification is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | bj-cbvaldv.1 | ||
bj-cbvaldv.2 | |||
bj-cbvaldv.3 | |||
Assertion | bj-cbvexdv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-cbvaldv.1 | ||
2 | bj-cbvaldv.2 | ||
3 | bj-cbvaldv.3 | ||
4 | 2 | nfnd | |
5 | notbi | ||
6 | 3 5 | syl6ib | |
7 | 1 4 6 | bj-cbvaldv | |
8 | 7 | notbid | |
9 | df-ex | ||
10 | df-ex | ||
11 | 8 9 10 | 3bitr4g |