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Mirrors > Home > ILE Home > Th. List > r19.21t | Unicode version |
Description: Theorem 19.21 of [Margaris] p. 90 with restricted quantifiers (closed theorem version). (Contributed by NM, 1-Mar-2008.) |
Ref | Expression |
---|---|
r19.21t |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bi2.04 237 | . . . 4 | |
2 | 1 | albii 1359 | . . 3 |
3 | 19.21t 1474 | . . 3 | |
4 | 2, 3 | syl5bb 181 | . 2 |
5 | df-ral 2311 | . 2 | |
6 | df-ral 2311 | . . 3 | |
7 | 6 | imbi2i 215 | . 2 |
8 | 4, 5, 7 | 3bitr4g 212 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 wal 1241 wnf 1349 wcel 1393 wral 2306 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-4 1400 ax-ial 1427 ax-i5r 1428 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-ral 2311 |
This theorem is referenced by: r19.21 2395 |
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