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Mirrors > Home > MPE Home > Th. List > 4t2e8 | Structured version Visualization version Unicode version |
Description: 4 times 2 equals 8. (Contributed by NM, 2-Aug-2004.) |
Ref | Expression |
---|---|
4t2e8 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 4cn 11098 | . . 3 | |
2 | 1 | times2i 11148 | . 2 |
3 | 4p4e8 11164 | . 2 | |
4 | 2, 3 | eqtri 2644 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wceq 1483 (class class class)co 6650 caddc 9939 cmul 9941 c2 11070 c4 11072 c8 11076 |
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 ax-resscn 9993 ax-1cn 9994 ax-icn 9995 ax-addcl 9996 ax-addrcl 9997 ax-mulcl 9998 ax-mulrcl 9999 ax-mulcom 10000 ax-addass 10001 ax-mulass 10002 ax-distr 10003 ax-i2m1 10004 ax-1ne0 10005 ax-1rid 10006 ax-rrecex 10008 ax-cnre 10009 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 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-ral 2917 df-rex 2918 df-rab 2921 df-v 3202 df-dif 3577 df-un 3579 df-in 3581 df-ss 3588 df-nul 3916 df-if 4087 df-sn 4178 df-pr 4180 df-op 4184 df-uni 4437 df-br 4654 df-iota 5851 df-fv 5896 df-ov 6653 df-2 11079 df-3 11080 df-4 11081 df-5 11082 df-6 11083 df-7 11084 df-8 11085 |
This theorem is referenced by: 8th4div3 11252 4t3e12 11632 sq4e2t8 12962 cu2 12963 sqoddm1div8 13028 cos2bnd 14918 2exp8 15796 8nprm 15818 19prm 15825 139prm 15831 1259lem2 15839 1259lem3 15840 1259lem4 15841 1259lem5 15842 2503lem1 15844 2503lem2 15845 4001lem1 15848 4001lem2 15849 4001lem3 15850 4001lem4 15851 quart1lem 24582 quart1 24583 quartlem1 24584 log2tlbnd 24672 log2ub 24676 bpos1 25008 bposlem8 25016 lgsdir2lem2 25051 2lgslem3a 25121 2lgslem3b 25122 2lgslem3c 25123 2lgslem3d 25124 2lgsoddprmlem2 25134 2lgsoddprmlem3c 25137 2lgsoddprmlem3d 25138 chebbnd1lem2 25159 chebbnd1lem3 25160 pntlemr 25291 ex-exp 27307 fmtno4prmfac 41484 139prmALT 41511 2exp7 41514 mod42tp1mod8 41519 3exp4mod41 41533 41prothprm 41536 8even 41622 |
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