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Mirrors > Home > MPE Home > Th. List > df-invr | Structured version Visualization version Unicode version |
Description: Define multiplicative inverse. (Contributed by NM, 21-Sep-2011.) |
Ref | Expression |
---|---|
df-invr | mulGrp ↾s Unit |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cinvr 18671 | . 2 | |
2 | vr | . . 3 | |
3 | cvv 3200 | . . 3 | |
4 | 2 | cv 1482 | . . . . . 6 |
5 | cmgp 18489 | . . . . . 6 mulGrp | |
6 | 4, 5 | cfv 5888 | . . . . 5 mulGrp |
7 | cui 18639 | . . . . . 6 Unit | |
8 | 4, 7 | cfv 5888 | . . . . 5 Unit |
9 | cress 15858 | . . . . 5 ↾s | |
10 | 6, 8, 9 | co 6650 | . . . 4 mulGrp ↾s Unit |
11 | cminusg 17423 | . . . 4 | |
12 | 10, 11 | cfv 5888 | . . 3 mulGrp ↾s Unit |
13 | 2, 3, 12 | cmpt 4729 | . 2 mulGrp ↾s Unit |
14 | 1, 13 | wceq 1483 | 1 mulGrp ↾s Unit |
Colors of variables: wff setvar class |
This definition is referenced by: invrfval 18673 |
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