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Mirrors > Home > NFE Home > Th. List > rmo2 | Unicode version |
Description: Alternate definition of
restricted "at most one." Note that
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Ref | Expression |
---|---|
rmo2.1 |
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Ref | Expression |
---|---|
rmo2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rmo 2623 |
. 2
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2 | nfv 1619 |
. . . 4
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3 | rmo2.1 |
. . . 4
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4 | 2, 3 | nfan 1824 |
. . 3
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5 | 4 | mo2 2233 |
. 2
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6 | impexp 433 |
. . . . 5
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7 | 6 | albii 1566 |
. . . 4
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8 | df-ral 2620 |
. . . 4
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9 | 7, 8 | bitr4i 243 |
. . 3
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10 | 9 | exbii 1582 |
. 2
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11 | 1, 5, 10 | 3bitri 262 |
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 df-ral 2620 df-rmo 2623 |
This theorem is referenced by: rmo2i 3133 |
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