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Mirrors > Home > ILE Home > Th. List > addid2i | Unicode version |
Description: is a left identity for addition. (Contributed by NM, 3-Jan-2013.) |
Ref | Expression |
---|---|
mul.1 |
Ref | Expression |
---|---|
addid2i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mul.1 | . 2 | |
2 | addid2 7247 | . 2 | |
3 | 1, 2 | ax-mp 7 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1284 wcel 1433 (class class class)co 5532 cc 6979 cc0 6981 caddc 6984 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-4 1440 ax-17 1459 ax-ial 1467 ax-ext 2063 ax-1cn 7069 ax-icn 7071 ax-addcl 7072 ax-mulcl 7074 ax-addcom 7076 ax-i2m1 7081 ax-0id 7084 |
This theorem depends on definitions: df-bi 115 df-cleq 2074 df-clel 2077 |
This theorem is referenced by: ine0 7498 inelr 7684 muleqadd 7758 0p1e1 8153 iap0 8254 num0h 8488 nummul1c 8525 decrmac 8534 decmul1 8540 fz0tp 9135 fzo0to3tp 9228 rei 9786 imi 9787 resqrexlemover 9896 ex-fac 10565 |
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