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Mirrors > Home > ILE Home > Th. List > r19.23t | Unicode version |
Description: Closed theorem form of r19.23 2578. (Contributed by NM, 4-Mar-2013.) (Revised by Mario Carneiro, 8-Oct-2016.) |
Ref | Expression |
---|---|
r19.23t |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.23t 1670 | . 2 | |
2 | df-ral 2453 | . . 3 | |
3 | impexp 261 | . . . 4 | |
4 | 3 | albii 1463 | . . 3 |
5 | 2, 4 | bitr4i 186 | . 2 |
6 | df-rex 2454 | . . 3 | |
7 | 6 | imbi1i 237 | . 2 |
8 | 1, 5, 7 | 3bitr4g 222 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wal 1346 wnf 1453 wex 1485 wcel 2141 wral 2448 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-ial 1527 ax-i5r 1528 |
This theorem depends on definitions: df-bi 116 df-nf 1454 df-ral 2453 df-rex 2454 |
This theorem is referenced by: r19.23 2578 rexlimd2 2585 |
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