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| Mirrors > Home > ILE Home > Th. List > 2rexbii | Unicode version | ||
| Description: Inference adding two restricted existential quantifiers to both sides of an equivalence. (Contributed by NM, 11-Nov-1995.) |
| Ref | Expression |
|---|---|
| ralbii.1 |
|
| Ref | Expression |
|---|---|
| 2rexbii |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ralbii.1 |
. . 3
| |
| 2 | 1 | rexbii 2513 |
. 2
|
| 3 | 2 | rexbii 2513 |
1
|
| Colors of variables: wff set class |
| Syntax hints: |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1470 ax-gen 1472 ax-ie1 1516 ax-ie2 1517 ax-4 1533 ax-17 1549 ax-ial 1557 |
| This theorem depends on definitions: df-bi 117 df-tru 1376 df-nf 1484 df-rex 2490 |
| This theorem is referenced by: 3reeanv 2677 4fvwrd4 10262 prodmodc 11889 pythagtriplem2 12589 pythagtrip 12606 |
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