Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > mulid2i | Unicode version |
Description: Identity law for multiplication. (Contributed by NM, 14-Feb-1995.) |
Ref | Expression |
---|---|
axi.1 |
Ref | Expression |
---|---|
mulid2i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | axi.1 | . 2 | |
2 | mulid2 7732 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1316 wcel 1465 (class class class)co 5742 cc 7586 c1 7589 cmul 7593 |
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-icn 7683 ax-addcl 7684 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 |
This theorem is referenced by: halfpm6th 8908 div4p1lem1div2 8941 3halfnz 9116 sq10 10427 fac2 10445 efival 11366 ef01bndlem 11390 3dvdsdec 11489 3dvds2dec 11490 odd2np1lem 11496 m1expo 11524 m1exp1 11525 nno 11530 sin2pim 12821 cos2pim 12822 sincosq3sgn 12836 sincosq4sgn 12837 cosq23lt0 12841 tangtx 12846 sincosq1eq 12847 sincos4thpi 12848 sincos6thpi 12850 abssinper 12854 cosq34lt1 12858 ex-fl 12864 |
Copyright terms: Public domain | W3C validator |