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Mirrors > Home > NFE Home > Th. List > moanim | Unicode version |
Description: Introduction of a conjunct into "at most one" quantifier. (Contributed by NM, 3-Dec-2001.) |
Ref | Expression |
---|---|
moanim.1 |
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Ref | Expression |
---|---|
moanim |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | impexp 433 |
. . . . 5
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2 | 1 | albii 1566 |
. . . 4
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3 | moanim.1 |
. . . . 5
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4 | 3 | 19.21 1796 |
. . . 4
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5 | 2, 4 | bitri 240 |
. . 3
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6 | 5 | exbii 1582 |
. 2
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7 | nfv 1619 |
. . 3
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8 | 7 | mo2 2233 |
. 2
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9 | nfv 1619 |
. . . . 5
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10 | 9 | mo2 2233 |
. . . 4
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11 | 10 | imbi2i 303 |
. . 3
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12 | 19.37v 1899 |
. . 3
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13 | 11, 12 | bitr4i 243 |
. 2
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14 | 6, 8, 13 | 3bitr4i 268 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-eu 2208 df-mo 2209 |
This theorem is referenced by: moanimv 2262 moaneu 2263 moanmo 2264 2eu1 2284 |
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