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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 2477 | . 2 |
3 | 2 | rexbii 2477 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wrex 2449 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1440 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-4 1503 ax-17 1519 ax-ial 1527 |
This theorem depends on definitions: df-bi 116 df-tru 1351 df-nf 1454 df-rex 2454 |
This theorem is referenced by: 3reeanv 2640 4fvwrd4 10089 prodmodc 11534 pythagtriplem2 12213 pythagtrip 12230 |
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