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Mirrors > Home > ILE Home > Th. List > dvelimdc | Unicode version |
Description: Deduction form of dvelimc 2243. (Contributed by Mario Carneiro, 8-Oct-2016.) |
Ref | Expression |
---|---|
dvelimdc.1 |
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dvelimdc.2 |
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dvelimdc.3 |
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dvelimdc.4 |
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dvelimdc.5 |
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Ref | Expression |
---|---|
dvelimdc |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1462 |
. . 3
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2 | dvelimdc.1 |
. . . . 5
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3 | dvelimdc.2 |
. . . . 5
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4 | dvelimdc.3 |
. . . . . 6
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5 | 4 | nfcrd 2236 |
. . . . 5
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6 | dvelimdc.4 |
. . . . . 6
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7 | 6 | nfcrd 2236 |
. . . . 5
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8 | dvelimdc.5 |
. . . . . 6
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9 | eleq2 2146 |
. . . . . 6
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10 | 8, 9 | syl6 33 |
. . . . 5
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11 | 2, 3, 5, 7, 10 | dvelimdf 1935 |
. . . 4
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12 | 11 | imp 122 |
. . 3
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13 | 1, 12 | nfcd 2218 |
. 2
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14 | 13 | ex 113 |
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-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-in1 577 ax-in2 578 ax-io 663 ax-5 1377 ax-7 1378 ax-gen 1379 ax-ie1 1423 ax-ie2 1424 ax-8 1436 ax-10 1437 ax-11 1438 ax-i12 1439 ax-bndl 1440 ax-4 1441 ax-17 1460 ax-i9 1464 ax-ial 1468 ax-i5r 1469 ax-ext 2065 |
This theorem depends on definitions: df-bi 115 df-tru 1288 df-fal 1291 df-nf 1391 df-sb 1688 df-cleq 2076 df-clel 2079 df-nfc 2212 |
This theorem is referenced by: dvelimc 2243 |
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