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Mirrors > Home > ILE Home > Th. List > mor | Unicode version |
Description: Converse of mo23 2067
with an additional ![]() ![]() ![]() |
Ref | Expression |
---|---|
mor.1 |
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Ref | Expression |
---|---|
mor |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mor.1 |
. . 3
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2 | 1 | sb8e 1857 |
. 2
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3 | impexp 263 |
. . . . 5
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4 | bi2.04 248 |
. . . . 5
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5 | 3, 4 | bitri 184 |
. . . 4
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6 | 5 | 2albii 1471 |
. . 3
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7 | nfs1v 1939 |
. . . . . 6
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8 | 7 | nfri 1519 |
. . . . 5
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9 | 8 | eximi 1600 |
. . . 4
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10 | alim 1457 |
. . . . . . 7
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11 | 10 | alimi 1455 |
. . . . . 6
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12 | 11 | a7s 1454 |
. . . . 5
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13 | exim 1599 |
. . . . 5
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14 | 12, 13 | syl 14 |
. . . 4
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15 | 9, 14 | syl5com 29 |
. . 3
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16 | 6, 15 | biimtrid 152 |
. 2
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17 | 2, 16 | sylbi 121 |
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-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-11 1506 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 |
This theorem depends on definitions: df-bi 117 df-nf 1461 df-sb 1763 |
This theorem is referenced by: modc 2069 |
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