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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 8759 | . . 3 | |
2 | 1 | 2timesi 8818 | . 2 |
3 | 2p2e4 8815 | . 2 | |
4 | 2, 3 | eqtri 2138 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1316 (class class class)co 5742 caddc 7591 cmul 7593 c2 8739 c4 8741 |
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 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 ax-resscn 7680 ax-1cn 7681 ax-1re 7682 ax-icn 7683 ax-addcl 7684 ax-addrcl 7685 ax-mulcl 7686 ax-mulcom 7689 ax-addass 7690 ax-mulass 7691 ax-distr 7692 ax-1rid 7695 ax-cnre 7699 |
This theorem depends on definitions: df-bi 116 df-3an 949 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-ral 2398 df-rex 2399 df-v 2662 df-un 3045 df-in 3047 df-ss 3054 df-sn 3503 df-pr 3504 df-op 3506 df-uni 3707 df-br 3900 df-iota 5058 df-fv 5101 df-ov 5745 df-2 8747 df-3 8748 df-4 8749 |
This theorem is referenced by: 4d2e2 8848 halfpm6th 8908 div4p1lem1div2 8941 3halfnz 9116 decbin0 9289 sq2 10356 sq4e2t8 10358 sqoddm1div8 10412 faclbnd2 10456 4bc2eq6 10488 amgm2 10858 sin4lt0 11400 z4even 11540 flodddiv4 11558 flodddiv4t2lthalf 11561 4nprm 11737 dveflem 12782 sin0pilem2 12790 sinhalfpilem 12799 sincosq1lem 12833 tangtx 12846 sincos4thpi 12848 ex-fl 12864 |
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