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Mirrors > Home > MPE Home > Th. List > 10nn0OLD | Structured version Visualization version Unicode version |
Description: Obsolete version of 10nn0 11516 as of 6-Sep-2021. (Contributed by Mario Carneiro, 19-Apr-2015.) (New usage is discouraged.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
10nn0OLD |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 10nnOLD 11193 | . 2 | |
2 | 1 | nnnn0i 11300 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wcel 1990 c10 11078 cn0 11292 |
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-8 1992 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 ax-sep 4781 ax-nul 4789 ax-pow 4843 ax-pr 4906 ax-un 6949 ax-1cn 9994 |
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-eu 2474 df-mo 2475 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-ne 2795 df-ral 2917 df-rex 2918 df-reu 2919 df-rab 2921 df-v 3202 df-sbc 3436 df-csb 3534 df-dif 3577 df-un 3579 df-in 3581 df-ss 3588 df-pss 3590 df-nul 3916 df-if 4087 df-pw 4160 df-sn 4178 df-pr 4180 df-tp 4182 df-op 4184 df-uni 4437 df-iun 4522 df-br 4654 df-opab 4713 df-mpt 4730 df-tr 4753 df-id 5024 df-eprel 5029 df-po 5035 df-so 5036 df-fr 5073 df-we 5075 df-xp 5120 df-rel 5121 df-cnv 5122 df-co 5123 df-dm 5124 df-rn 5125 df-res 5126 df-ima 5127 df-pred 5680 df-ord 5726 df-on 5727 df-lim 5728 df-suc 5729 df-iota 5851 df-fun 5890 df-fn 5891 df-f 5892 df-f1 5893 df-fo 5894 df-f1o 5895 df-fv 5896 df-ov 6653 df-om 7066 df-wrecs 7407 df-recs 7468 df-rdg 7506 df-nn 11021 df-2 11079 df-3 11080 df-4 11081 df-5 11082 df-6 11083 df-7 11084 df-8 11085 df-9 11086 df-10OLD 11087 df-n0 11293 |
This theorem is referenced by: decclOLD 11513 decnnclOLD 11519 dec0uOLD 11521 dec0hOLD 11523 decsucOLD 11536 decmaOLD 11565 decmacOLD 11567 decma2cOLD 11569 decaddOLD 11571 decaddcOLD 11573 decsubiOLD 11584 decmul1OLD 11586 decmul1cOLD 11588 decmul2cOLD 11590 decmul10addOLD 11594 decsplit0bOLD 15788 decsplit1OLD 15790 decsplitOLD 15791 karatsubaOLD 15793 tgoldbachOLD 41712 |
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