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Mirrors > Home > NFE Home > Th. List > nfiotad | Unicode version |
Description: Deduction version of nfiota 4344. (Contributed by NM, 18-Feb-2013.) |
Ref | Expression |
---|---|
nfiotad.1 |
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nfiotad.2 |
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Ref | Expression |
---|---|
nfiotad |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfiota2 4341 |
. 2
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2 | nfv 1619 |
. . . 4
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3 | nfiotad.1 |
. . . . 5
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4 | nfiotad.2 |
. . . . . . 7
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5 | 4 | adantr 451 |
. . . . . 6
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6 | nfcvf 2512 |
. . . . . . . 8
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7 | 6 | adantl 452 |
. . . . . . 7
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8 | nfcvd 2491 |
. . . . . . 7
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9 | 7, 8 | nfeqd 2504 |
. . . . . 6
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10 | 5, 9 | nfbid 1832 |
. . . . 5
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11 | 3, 10 | nfald2 1972 |
. . . 4
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12 | 2, 11 | nfabd 2509 |
. . 3
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13 | 12 | nfunid 3899 |
. 2
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14 | 1, 13 | nfcxfrd 2488 |
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 ax-ext 2334 |
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-clab 2340 df-cleq 2346 df-clel 2349 df-nfc 2479 df-ral 2620 df-rex 2621 df-sn 3742 df-uni 3893 df-iota 4340 |
This theorem is referenced by: nfiota 4344 |
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