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Mirrors > Home > MPE Home > Th. List > eldiftp | Structured version Visualization version Unicode version |
Description: Membership in a set with three elements removed. Similar to eldifsn 4317 and eldifpr 4204. (Contributed by David A. Wheeler, 22-Jul-2017.) |
Ref | Expression |
---|---|
eldiftp |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eldif 3584 | . 2 | |
2 | eltpg 4227 | . . . . 5 | |
3 | 2 | notbid 308 | . . . 4 |
4 | ne3anior 2887 | . . . 4 | |
5 | 3, 4 | syl6bbr 278 | . . 3 |
6 | 5 | pm5.32i 669 | . 2 |
7 | 1, 6 | bitri 264 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wb 196 wa 384 w3o 1036 w3a 1037 wceq 1483 wcel 1990 wne 2794 cdif 3571 ctp 4181 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-3or 1038 df-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-ne 2795 df-v 3202 df-dif 3577 df-un 3579 df-sn 4178 df-pr 4180 df-tp 4182 |
This theorem is referenced by: (None) |
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