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Mirrors > Home > ILE 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 1496 | . 2 |
3 | df-rex 2312 | . 2 | |
4 | df-rex 2312 | . 2 | |
5 | 2, 3, 4 | 3bitr4i 201 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 97 wb 98 wex 1381 wcel 1393 wrex 2307 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-4 1400 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 df-rex 2312 |
This theorem is referenced by: rexeqbii 2337 rexbiia 2339 rexrab 2704 rexdifsn 3499 bnd2 3926 rexuz2 8524 rexrp 8605 rexuz3 9588 |
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