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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 1506 |
. . . 4
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2 | hbe1 1506 |
. . . 4
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3 | 1, 2 | hbor 1557 |
. . 3
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4 | 19.8a 1601 |
. . . 4
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5 | 19.8a 1601 |
. . . 4
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6 | 4, 5 | orim12i 760 |
. . 3
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7 | 3, 6 | exlimih 1604 |
. 2
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8 | orc 713 |
. . . 4
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9 | 8 | eximi 1611 |
. . 3
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10 | olc 712 |
. . . 4
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11 | 10 | eximi 1611 |
. . 3
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12 | 9, 11 | jaoi 717 |
. 2
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13 | 7, 12 | impbii 126 |
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 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-4 1521 ax-ial 1545 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: 19.44 1693 19.45 1694 19.34 1695 sborv 1902 r19.43 2648 rexun 3330 unipr 3838 uniun 3843 unopab 4097 dmun 4852 coundi 5148 coundir 5149 |
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