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Mirrors > Home > MPE Home > Th. List > Mathboxes > df3o2 | Structured version Visualization version Unicode version |
Description: Ordinal 3 is the triplet containing ordinals 0, 1 and 2. (Contributed by RP, 8-Jul-2021.) |
Ref | Expression |
---|---|
df3o2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-3o 7562 | . 2 | |
2 | df2o3 7573 | . . . 4 | |
3 | 2 | uneq1i 3763 | . . 3 |
4 | df-suc 5729 | . . 3 | |
5 | df-tp 4182 | . . 3 | |
6 | 3, 4, 5 | 3eqtr4i 2654 | . 2 |
7 | 1, 6 | eqtri 2644 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wceq 1483 cun 3572 c0 3915 csn 4177 cpr 4179 ctp 4181 csuc 5725 c1o 7553 c2o 7554 c3o 7555 |
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-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-v 3202 df-dif 3577 df-un 3579 df-nul 3916 df-pr 4180 df-tp 4182 df-suc 5729 df-1o 7560 df-2o 7561 df-3o 7562 |
This theorem is referenced by: clsk1indlem4 38342 clsk1indlem1 38343 |
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