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Mirrors > Home > ILE Home > Th. List > exim | Unicode version |
Description: Theorem 19.22 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 4-Jul-2014.) |
Ref | Expression |
---|---|
exim |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hba1 1533 | . 2 | |
2 | hbe1 1488 | . 2 | |
3 | 19.8a 1583 | . . . 4 | |
4 | 3 | imim2i 12 | . . 3 |
5 | 4 | sps 1530 | . 2 |
6 | 1, 2, 5 | exlimdh 1589 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1346 wex 1485 |
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 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: eximi 1593 exbi 1597 eximdh 1604 19.29 1613 19.25 1619 alexim 1638 19.23t 1670 spimt 1729 equvini 1751 nfexd 1754 ax10oe 1790 sbcof2 1803 spsbim 1836 nf5-1 2017 mor 2061 rexim 2564 elex22 2745 elex2 2746 vtoclegft 2802 spcimgft 2806 spcimegft 2808 spc2gv 2821 spc3gv 2823 ssoprab2 5906 bj-inf2vnlem1 13927 |
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