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Mirrors > Home > ILE Home > Th. List > 2t1e2 | Unicode version |
Description: 2 times 1 equals 2. (Contributed by David A. Wheeler, 6-Dec-2018.) |
Ref | Expression |
---|---|
2t1e2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2cn 8759 | . 2 | |
2 | 1 | mulid1i 7736 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1316 (class class class)co 5742 c1 7589 cmul 7593 c2 8739 |
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-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 |
This theorem is referenced by: decbin2 9290 qbtwnrelemcalc 10001 expubnd 10318 trirecip 11238 ege2le3 11304 cos2tsin 11385 cos2bnd 11394 odd2np1 11497 opoe 11519 flodddiv4 11558 sin0pilem2 12790 cos2pi 12812 coskpi 12856 |
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