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Mirrors > Home > NFE Home > Th. List > rexbii2 | Unicode version |
Description: Inference adding different restricted existential quantifiers to each side of an equivalence. (Contributed by NM, 4-Feb-2004.) |
Ref | Expression |
---|---|
rexbii2.1 |
Ref | Expression |
---|---|
rexbii2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rexbii2.1 | . . 3 | |
2 | 1 | exbii 1582 | . 2 |
3 | df-rex 2620 | . 2 | |
4 | df-rex 2620 | . 2 | |
5 | 2, 3, 4 | 3bitr4i 268 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wb 176 wa 358 wex 1541 wcel 1710 wrex 2615 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 ax-gen 1546 ax-5 1557 |
This theorem depends on definitions: df-bi 177 df-ex 1542 df-rex 2620 |
This theorem is referenced by: rexeqbii 2645 rexbiia 2647 rexrab 3000 rexdifsn 3843 pw1in 4164 |
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