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Mirrors > Home > MPE Home > Th. List > Mathboxes > prtlem100 | Structured version Visualization version Unicode version |
Description: Lemma for prter3 32448. (Contributed by Rodolfo Medina, 19-Oct-2010.) |
Ref | Expression |
---|---|
prtlem100 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | anass 654 |
. . 3
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2 | eldifsn 4096 |
. . . 4
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3 | 2 | anbi1i 700 |
. . 3
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4 | ne0i 3736 |
. . . . . . 7
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5 | 4 | pm4.71ri 638 |
. . . . . 6
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6 | 5 | anbi1i 700 |
. . . . 5
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7 | anass 654 |
. . . . 5
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8 | 6, 7 | bitri 253 |
. . . 4
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9 | 8 | anbi2i 699 |
. . 3
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10 | 1, 3, 9 | 3bitr4ri 282 |
. 2
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11 | 10 | rexbii2 2886 |
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 1668 ax-4 1681 ax-5 1757 ax-6 1804 ax-7 1850 ax-10 1914 ax-11 1919 ax-12 1932 ax-13 2090 ax-ext 2430 |
This theorem depends on definitions: df-bi 189 df-an 373 df-tru 1446 df-ex 1663 df-nf 1667 df-sb 1797 df-clab 2437 df-cleq 2443 df-clel 2446 df-nfc 2580 df-ne 2623 df-rex 2742 df-v 3046 df-dif 3406 df-nul 3731 df-sn 3968 |
This theorem is referenced by: (None) |
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