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Mirrors > Home > NFE Home > Th. List > 19.41 | Unicode version |
Description: Theorem 19.41 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) |
Ref | Expression |
---|---|
19.41.1 |
Ref | Expression |
---|---|
19.41 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.40 1609 | . . 3 | |
2 | 19.41.1 | . . . . 5 | |
3 | id 19 | . . . . 5 | |
4 | 2, 3 | exlimi 1803 | . . . 4 |
5 | 4 | anim2i 552 | . . 3 |
6 | 1, 5 | syl 15 | . 2 |
7 | pm3.21 435 | . . . 4 | |
8 | 2, 7 | eximd 1770 | . . 3 |
9 | 8 | impcom 419 | . 2 |
10 | 6, 9 | impbii 180 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wb 176 wa 358 wex 1541 wnf 1544 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-11 1746 |
This theorem depends on definitions: df-bi 177 df-an 360 df-ex 1542 df-nf 1545 |
This theorem is referenced by: 19.42 1880 19.41v 1901 eean 1912 r19.41 2763 eliunxp 4821 |
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