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Mirrors > Home > ILE Home > Th. List > 2t2e4 | Unicode version |
Description: 2 times 2 equals 4. (Contributed by NM, 1-Aug-1999.) |
Ref | Expression |
---|---|
2t2e4 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2cn 8909 | . . 3 | |
2 | 1 | 2timesi 8968 | . 2 |
3 | 2p2e4 8965 | . 2 | |
4 | 2, 3 | eqtri 2178 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1335 (class class class)co 5826 caddc 7737 cmul 7739 c2 8889 c4 8891 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-10 1485 ax-11 1486 ax-i12 1487 ax-bndl 1489 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2139 ax-resscn 7826 ax-1cn 7827 ax-1re 7828 ax-icn 7829 ax-addcl 7830 ax-addrcl 7831 ax-mulcl 7832 ax-mulcom 7835 ax-addass 7836 ax-mulass 7837 ax-distr 7838 ax-1rid 7841 ax-cnre 7845 |
This theorem depends on definitions: df-bi 116 df-3an 965 df-tru 1338 df-nf 1441 df-sb 1743 df-clab 2144 df-cleq 2150 df-clel 2153 df-nfc 2288 df-ral 2440 df-rex 2441 df-v 2714 df-un 3106 df-in 3108 df-ss 3115 df-sn 3567 df-pr 3568 df-op 3570 df-uni 3775 df-br 3968 df-iota 5137 df-fv 5180 df-ov 5829 df-2 8897 df-3 8898 df-4 8899 |
This theorem is referenced by: 4d2e2 8998 halfpm6th 9058 div4p1lem1div2 9091 3halfnz 9266 decbin0 9439 sq2 10523 sq4e2t8 10525 sqoddm1div8 10580 faclbnd2 10627 4bc2eq6 10659 amgm2 11029 sin4lt0 11674 z4even 11819 flodddiv4 11837 flodddiv4t2lthalf 11840 4nprm 12021 dveflem 13157 sin0pilem2 13173 sinhalfpilem 13182 sincosq1lem 13216 tangtx 13229 sincos4thpi 13231 ex-fl 13372 |
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