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Mirrors > Home > NFE Home > Th. List > axcnvprim | Unicode version |
Description: ax-cnv 4081 presented without any set theory definitions. (Contributed by SF, 25-Mar-2015.) |
Ref | Expression |
---|---|
axcnvprim |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-cnv 4081 |
. 2
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2 | df-clel 2349 |
. . . . . 6
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3 | axprimlem2 4090 |
. . . . . . . 8
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4 | 3 | anbi1i 676 |
. . . . . . 7
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5 | 4 | exbii 1582 |
. . . . . 6
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6 | 2, 5 | bitri 240 |
. . . . 5
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7 | df-clel 2349 |
. . . . . 6
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8 | axprimlem2 4090 |
. . . . . . . 8
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9 | 8 | anbi1i 676 |
. . . . . . 7
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10 | 9 | exbii 1582 |
. . . . . 6
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11 | 7, 10 | bitri 240 |
. . . . 5
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12 | 6, 11 | bibi12i 306 |
. . . 4
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13 | 12 | 2albii 1567 |
. . 3
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14 | 13 | exbii 1582 |
. 2
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15 | 1, 14 | mpbi 199 |
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 ax-cnv 4081 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-nan 1288 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-v 2862 df-nin 3212 df-compl 3213 df-un 3215 df-sn 3742 df-pr 3743 df-opk 4059 |
This theorem is referenced by: (None) |
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