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Mirrors > Home > ILE Home > Th. List > ax11b | Unicode version |
Description: A bidirectional version of ax-11o 1833. (Contributed by NM, 30-Jun-2006.) |
Ref | Expression |
---|---|
ax11b |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax11o 1832 |
. . 3
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2 | 1 | imp 124 |
. 2
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3 | ax-4 1520 |
. . . 4
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4 | 3 | com12 30 |
. . 3
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5 | 4 | adantl 277 |
. 2
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6 | 2, 5 | impbid 129 |
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-in2 616 ax-io 710 ax-5 1457 ax-7 1458 ax-gen 1459 ax-ie1 1503 ax-ie2 1504 ax-8 1514 ax-10 1515 ax-11 1516 ax-i12 1517 ax-4 1520 ax-17 1536 ax-i9 1540 ax-ial 1544 |
This theorem depends on definitions: df-bi 117 df-nf 1471 df-sb 1773 |
This theorem is referenced by: (None) |
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