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Mirrors > Home > ILE Home > Th. List > nfimd | Unicode version |
Description: If in a context ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
nfimd.1 |
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nfimd.2 |
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Ref | Expression |
---|---|
nfimd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfimd.1 |
. 2
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2 | nfimd.2 |
. 2
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3 | nfnf1 1477 |
. . . . 5
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4 | 3 | nfri 1453 |
. . . 4
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5 | nfnf1 1477 |
. . . . 5
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6 | 5 | nfri 1453 |
. . . 4
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7 | nfr 1452 |
. . . . . 6
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8 | 7 | imim2d 53 |
. . . . 5
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9 | 19.21t 1515 |
. . . . . 6
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10 | 9 | biimprd 156 |
. . . . 5
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11 | 8, 10 | syl9r 72 |
. . . 4
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12 | 4, 6, 11 | alrimdh 1409 |
. . 3
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13 | df-nf 1391 |
. . 3
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14 | 12, 13 | syl6ibr 160 |
. 2
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15 | 1, 2, 14 | sylc 61 |
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-5 1377 ax-gen 1379 ax-4 1441 ax-ial 1468 ax-i5r 1469 |
This theorem depends on definitions: df-bi 115 df-nf 1391 |
This theorem is referenced by: nfbid 1521 dvelimALT 1929 dvelimfv 1930 dvelimor 1937 nfmod 1960 nfraldxy 2404 cbvrald 11031 |
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