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Mirrors > Home > MPE Home > Th. List > morimv | Unicode version |
Description: Move antecedent outside of "at most one." (Contributed by NM, 28-Jul-1995.) |
Ref | Expression |
---|---|
morimv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1 5 |
. . . . . . 7
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2 | 1 | a1i 11 |
. . . . . 6
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3 | 2 | imim1d 71 |
. . . . 5
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4 | 3 | alimdv 1628 |
. . . 4
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5 | 4 | eximdv 1629 |
. . 3
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6 | nfv 1626 |
. . . 4
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7 | 6 | mo2 2283 |
. . 3
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8 | nfv 1626 |
. . . 4
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9 | 8 | mo2 2283 |
. . 3
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10 | 5, 7, 9 | 3imtr4g 262 |
. 2
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11 | 10 | com12 29 |
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-3 7 ax-mp 8 ax-gen 1552 ax-5 1563 ax-17 1623 ax-9 1662 ax-8 1683 ax-6 1740 ax-7 1745 ax-11 1757 ax-12 1946 |
This theorem depends on definitions: df-bi 178 df-an 361 df-tru 1325 df-ex 1548 df-nf 1551 df-sb 1656 df-eu 2258 df-mo 2259 |
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