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Mirrors > Home > MPE Home > Th. List > scottexs | Unicode version |
Description: Theorem scheme version of
scottex 7773. The collection of all ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
scottexs |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2548 |
. . . 4
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2 | nfab1 2550 |
. . . 4
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3 | nfv 1626 |
. . . . 5
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4 | 2, 3 | nfral 2727 |
. . . 4
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5 | nfv 1626 |
. . . 4
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6 | fveq2 5695 |
. . . . . 6
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7 | 6 | sseq1d 3343 |
. . . . 5
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8 | 7 | ralbidv 2694 |
. . . 4
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9 | 1, 2, 4, 5, 8 | cbvrab 2922 |
. . 3
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10 | df-rab 2683 |
. . 3
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11 | abid 2400 |
. . . . 5
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12 | df-ral 2679 |
. . . . . 6
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13 | df-sbc 3130 |
. . . . . . . 8
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14 | 13 | imbi1i 316 |
. . . . . . 7
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15 | 14 | albii 1572 |
. . . . . 6
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16 | 12, 15 | bitr4i 244 |
. . . . 5
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17 | 11, 16 | anbi12i 679 |
. . . 4
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18 | 17 | abbii 2524 |
. . 3
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19 | 9, 10, 18 | 3eqtri 2436 |
. 2
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20 | scottex 7773 |
. 2
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21 | 19, 20 | eqeltrri 2483 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem is referenced by: hta 7785 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 ax-gen 1552 ax-5 1563 ax-17 1623 ax-9 1662 ax-8 1683 ax-13 1723 ax-14 1725 ax-6 1740 ax-7 1745 ax-11 1757 ax-12 1946 ax-ext 2393 ax-rep 4288 ax-sep 4298 ax-nul 4306 ax-pow 4345 ax-pr 4371 ax-un 4668 ax-reg 7524 ax-inf2 7560 |
This theorem depends on definitions: df-bi 178 df-or 360 df-an 361 df-3or 937 df-3an 938 df-tru 1325 df-ex 1548 df-nf 1551 df-sb 1656 df-eu 2266 df-mo 2267 df-clab 2399 df-cleq 2405 df-clel 2408 df-nfc 2537 df-ne 2577 df-ral 2679 df-rex 2680 df-reu 2681 df-rab 2683 df-v 2926 df-sbc 3130 df-csb 3220 df-dif 3291 df-un 3293 df-in 3295 df-ss 3302 df-pss 3304 df-nul 3597 df-if 3708 df-pw 3769 df-sn 3788 df-pr 3789 df-tp 3790 df-op 3791 df-uni 3984 df-int 4019 df-iun 4063 df-br 4181 df-opab 4235 df-mpt 4236 df-tr 4271 df-eprel 4462 df-id 4466 df-po 4471 df-so 4472 df-fr 4509 df-we 4511 df-ord 4552 df-on 4553 df-lim 4554 df-suc 4555 df-om 4813 df-xp 4851 df-rel 4852 df-cnv 4853 df-co 4854 df-dm 4855 df-rn 4856 df-res 4857 df-ima 4858 df-iota 5385 df-fun 5423 df-fn 5424 df-f 5425 df-f1 5426 df-fo 5427 df-f1o 5428 df-fv 5429 df-recs 6600 df-rdg 6635 df-r1 7654 df-rank 7655 |
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