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Mirrors > Home > ILE Home > Th. List > moimv | Unicode version |
Description: Move antecedent outside of "at most one." (Contributed by NM, 28-Jul-1995.) |
Ref | Expression |
---|---|
moimv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1 5 |
. . . . . . 7
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2 | 1 | a1i 9 |
. . . . . 6
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3 | 2 | sbimi 1689 |
. . . . . . 7
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4 | nfv 1462 |
. . . . . . . 8
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5 | 4 | sbf 1702 |
. . . . . . 7
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6 | sbim 1870 |
. . . . . . 7
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7 | 3, 5, 6 | 3imtr3i 198 |
. . . . . 6
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8 | 2, 7 | anim12d 328 |
. . . . 5
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9 | 8 | imim1d 74 |
. . . 4
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10 | 9 | 2alimdv 1804 |
. . 3
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11 | ax-17 1460 |
. . . 4
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12 | 11 | mo3h 1996 |
. . 3
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13 | ax-17 1460 |
. . . 4
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14 | 13 | mo3h 1996 |
. . 3
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15 | 10, 12, 14 | 3imtr4g 203 |
. 2
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16 | 15 | com12 30 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 663 ax-5 1377 ax-7 1378 ax-gen 1379 ax-ie1 1423 ax-ie2 1424 ax-8 1436 ax-10 1437 ax-11 1438 ax-i12 1439 ax-bndl 1440 ax-4 1441 ax-17 1460 ax-i9 1464 ax-ial 1468 ax-i5r 1469 |
This theorem depends on definitions: df-bi 115 df-nf 1391 df-sb 1688 df-eu 1946 df-mo 1947 |
This theorem is referenced by: (None) |
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