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Mirrors > Home > ILE Home > Th. List > r19.23t | Unicode version |
Description: Closed theorem form of r19.23 2565. (Contributed by NM, 4-Mar-2013.) (Revised by Mario Carneiro, 8-Oct-2016.) |
Ref | Expression |
---|---|
r19.23t |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.23t 1657 | . 2 | |
2 | df-ral 2440 | . . 3 | |
3 | impexp 261 | . . . 4 | |
4 | 3 | albii 1450 | . . 3 |
5 | 2, 4 | bitr4i 186 | . 2 |
6 | df-rex 2441 | . . 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 1333 wnf 1440 wex 1472 wcel 2128 wral 2435 wrex 2436 |
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 1427 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-4 1490 ax-ial 1514 ax-i5r 1515 |
This theorem depends on definitions: df-bi 116 df-nf 1441 df-ral 2440 df-rex 2441 |
This theorem is referenced by: r19.23 2565 rexlimd2 2572 |
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