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Mirrors > Home > ILE Home > Th. List > r19.41 | Unicode version |
Description: Restricted quantifier version of Theorem 19.41 of [Margaris] p. 90. (Contributed by NM, 1-Nov-2010.) |
Ref | Expression |
---|---|
r19.41.1 |
Ref | Expression |
---|---|
r19.41 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | anass 393 | . . . 4 | |
2 | 1 | exbii 1536 | . . 3 |
3 | r19.41.1 | . . . 4 | |
4 | 3 | 19.41 1616 | . . 3 |
5 | 2, 4 | bitr3i 184 | . 2 |
6 | df-rex 2354 | . 2 | |
7 | df-rex 2354 | . . 3 | |
8 | 7 | anbi1i 445 | . 2 |
9 | 5, 6, 8 | 3bitr4i 210 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 102 wb 103 wnf 1389 wex 1421 wcel 1433 wrex 2349 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-4 1440 ax-ial 1467 |
This theorem depends on definitions: df-bi 115 df-nf 1390 df-rex 2354 |
This theorem is referenced by: r19.41v 2510 |
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