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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 6 |
. . . . . . 7
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2 | 1 | a1i 9 |
. . . . . 6
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3 | 2 | sbimi 1775 |
. . . . . . 7
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4 | nfv 1539 |
. . . . . . . 8
![]() ![]() ![]() ![]() | |
5 | 4 | sbf 1788 |
. . . . . . 7
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6 | sbim 1969 |
. . . . . . 7
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7 | 3, 5, 6 | 3imtr3i 200 |
. . . . . 6
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8 | 2, 7 | anim12d 335 |
. . . . 5
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9 | 8 | imim1d 75 |
. . . 4
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10 | 9 | 2alimdv 1892 |
. . 3
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11 | ax-17 1537 |
. . . 4
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12 | 11 | mo3h 2095 |
. . 3
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13 | ax-17 1537 |
. . . 4
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14 | 13 | mo3h 2095 |
. . 3
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15 | 10, 12, 14 | 3imtr4g 205 |
. 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-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 df-eu 2045 df-mo 2046 |
This theorem is referenced by: (None) |
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