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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbe1 1472 |
. . . 4
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2 | hbe1 1472 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 1, 2 | hbor 1526 |
. . 3
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4 | 19.8a 1570 |
. . . 4
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5 | 19.8a 1570 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
6 | 4, 5 | orim12i 749 |
. . 3
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7 | 3, 6 | exlimih 1573 |
. 2
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8 | orc 702 |
. . . 4
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9 | 8 | eximi 1580 |
. . 3
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10 | olc 701 |
. . . 4
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11 | 10 | eximi 1580 |
. . 3
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12 | 9, 11 | jaoi 706 |
. 2
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13 | 7, 12 | impbii 125 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
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 699 ax-5 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-ial 1515 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: 19.44 1661 19.45 1662 19.34 1663 sborv 1863 r19.43 2592 rexun 3261 unipr 3758 uniun 3763 unopab 4015 dmun 4754 coundi 5048 coundir 5049 |
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