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Mathbox for Thierry Arnoux |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > ballotlemelo | Structured version Unicode version |
Description: Elementhood in ![]() |
Ref | Expression |
---|---|
ballotth.m |
![]() ![]() ![]() ![]() |
ballotth.n |
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ballotth.o |
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Ref | Expression |
---|---|
ballotlemelo |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fveq2 5792 |
. . . 4
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2 | 1 | eqeq1d 2453 |
. . 3
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3 | ballotth.o |
. . . 4
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4 | fveq2 5792 |
. . . . . 6
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5 | 4 | eqeq1d 2453 |
. . . . 5
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6 | 5 | cbvrabv 3070 |
. . . 4
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7 | 3, 6 | eqtri 2480 |
. . 3
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8 | 2, 7 | elrab2 3219 |
. 2
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9 | ovex 6218 |
. . . 4
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10 | 9 | elpw2 4557 |
. . 3
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11 | 10 | anbi1i 695 |
. 2
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12 | 8, 11 | bitri 249 |
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 1592 ax-4 1603 ax-5 1671 ax-6 1710 ax-7 1730 ax-10 1777 ax-11 1782 ax-12 1794 ax-13 1952 ax-ext 2430 ax-sep 4514 ax-nul 4522 |
This theorem depends on definitions: df-bi 185 df-or 370 df-an 371 df-3an 967 df-tru 1373 df-ex 1588 df-nf 1591 df-sb 1703 df-eu 2264 df-clab 2437 df-cleq 2443 df-clel 2446 df-nfc 2601 df-ne 2646 df-ral 2800 df-rex 2801 df-rab 2804 df-v 3073 df-sbc 3288 df-dif 3432 df-un 3434 df-in 3436 df-ss 3443 df-nul 3739 df-if 3893 df-pw 3963 df-sn 3979 df-pr 3981 df-op 3985 df-uni 4193 df-br 4394 df-iota 5482 df-fv 5527 df-ov 6196 |
This theorem is referenced by: ballotlemscr 27038 ballotlemro 27042 ballotlemfg 27045 ballotlemfrc 27046 ballotlemfrceq 27048 ballotlemrinv0 27052 |
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