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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 8784 | . . 3 | |
2 | 1 | 2timesi 8843 | . 2 |
3 | 2p2e4 8840 | . 2 | |
4 | 2, 3 | eqtri 2158 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1331 (class class class)co 5767 caddc 7616 cmul 7618 c2 8764 c4 8766 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 ax-resscn 7705 ax-1cn 7706 ax-1re 7707 ax-icn 7708 ax-addcl 7709 ax-addrcl 7710 ax-mulcl 7711 ax-mulcom 7714 ax-addass 7715 ax-mulass 7716 ax-distr 7717 ax-1rid 7720 ax-cnre 7724 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-ral 2419 df-rex 2420 df-v 2683 df-un 3070 df-in 3072 df-ss 3079 df-sn 3528 df-pr 3529 df-op 3531 df-uni 3732 df-br 3925 df-iota 5083 df-fv 5126 df-ov 5770 df-2 8772 df-3 8773 df-4 8774 |
This theorem is referenced by: 4d2e2 8873 halfpm6th 8933 div4p1lem1div2 8966 3halfnz 9141 decbin0 9314 sq2 10381 sq4e2t8 10383 sqoddm1div8 10437 faclbnd2 10481 4bc2eq6 10513 amgm2 10883 sin4lt0 11462 z4even 11602 flodddiv4 11620 flodddiv4t2lthalf 11623 4nprm 11799 dveflem 12844 sin0pilem2 12852 sinhalfpilem 12861 sincosq1lem 12895 tangtx 12908 sincos4thpi 12910 ex-fl 12926 |
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