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| Description: Theorem 19.22 of [Margaris] p. 90. (Restricted quantifier version.) (Contributed by NM, 22-Nov-1994.) (Proof shortened by Andrew Salmon, 30-May-2011.) |
| Ref | Expression |
|---|---|
| rexim |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | con3 126 |
. . . 4
| |
| 2 | 1 | ral2imi 2690 |
. . 3
|
| 3 | 2 | con3d 125 |
. 2
|
| 4 | dfrex2 2627 |
. 2
| |
| 5 | dfrex2 2627 |
. 2
| |
| 6 | 3, 4, 5 | 3imtr4g 261 |
1
|
| Colors of variables: wff setvar class |
| Syntax hints: |
| 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-an 360 df-ex 1542 df-ral 2619 df-rex 2620 |
| This theorem is referenced by: reximia 2719 reximdai 2722 r19.29 2754 reupick2 3541 ss2iun 3984 |
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