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Mirrors > Home > NFE Home > Th. List > 2reu5lem1 | Unicode version |
Description: Lemma for 2reu5 3045. Note that ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
2reu5lem1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-reu 2622 |
. . 3
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2 | 1 | reubii 2798 |
. 2
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3 | df-reu 2622 |
. . 3
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4 | euanv 2265 |
. . . . . 6
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5 | 4 | bicomi 193 |
. . . . 5
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6 | 3anass 938 |
. . . . . . 7
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7 | 6 | bicomi 193 |
. . . . . 6
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8 | 7 | eubii 2213 |
. . . . 5
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9 | 5, 8 | bitri 240 |
. . . 4
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10 | 9 | eubii 2213 |
. . 3
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11 | 3, 10 | bitri 240 |
. 2
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12 | 2, 11 | bitri 240 |
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-3an 936 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-eu 2208 df-mo 2209 df-reu 2622 |
This theorem is referenced by: 2reu5lem3 3044 |
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