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Mirrors > Home > MPE Home > Th. List > elfz2 | Structured version Visualization version Unicode version |
Description: Membership in a finite
set of sequential integers. We use the fact that
an operation's value is empty outside of its domain to show ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
elfz2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | anass 659 |
. 2
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2 | df-3an 988 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 2 | anbi1i 706 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4 | elfz1 11779 |
. . . 4
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5 | 3anass 990 |
. . . . 5
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6 | ibar 511 |
. . . . 5
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7 | 5, 6 | syl5bb 265 |
. . . 4
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8 | 4, 7 | bitrd 261 |
. . 3
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9 | fzf 11778 |
. . . . . . 7
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10 | 9 | fdmi 5716 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
11 | 10 | ndmov 6440 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | 11 | eleq2d 2514 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | noel 3702 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() | |
14 | 13 | pm2.21i 136 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | simpl 463 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
16 | 14, 15 | pm5.21ni 358 |
. . . 4
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17 | 12, 16 | bitrd 261 |
. . 3
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18 | 8, 17 | pm2.61i 169 |
. 2
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19 | 1, 3, 18 | 3bitr4ri 286 |
1
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