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Mirrors > Home > ILE Home > Th. List > 19.43 | Unicode version |
Description: Theorem 19.43 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Mario Carneiro, 2-Feb-2015.) |
Ref | Expression |
---|---|
19.43 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbe1 1456 | . . . 4 | |
2 | hbe1 1456 | . . . 4 | |
3 | 1, 2 | hbor 1510 | . . 3 |
4 | 19.8a 1554 | . . . 4 | |
5 | 19.8a 1554 | . . . 4 | |
6 | 4, 5 | orim12i 733 | . . 3 |
7 | 3, 6 | exlimih 1557 | . 2 |
8 | orc 686 | . . . 4 | |
9 | 8 | eximi 1564 | . . 3 |
10 | olc 685 | . . . 4 | |
11 | 10 | eximi 1564 | . . 3 |
12 | 9, 11 | jaoi 690 | . 2 |
13 | 7, 12 | impbii 125 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wo 682 wex 1453 |
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-io 683 ax-5 1408 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-4 1472 ax-ial 1499 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: 19.44 1645 19.45 1646 19.34 1647 sborv 1846 r19.43 2566 rexun 3226 unipr 3720 uniun 3725 unopab 3977 dmun 4716 coundi 5010 coundir 5011 |
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