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Mirrors > Home > MPE Home > Th. List > df-ric | Structured version Visualization version Unicode version |
Description: Define the ring isomorphism relation, analogous to df-gic 17702: Two (unital) rings are said to be isomorphic iff they are connected by at least one isomorphism. Isomorphic rings share all global ring properties, but to relate local properties requires knowledge of a specific isomorphism. (Contributed by AV, 24-Dec-2019.) |
Ref | Expression |
---|---|
df-ric | RingIso |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cric 18714 | . 2 | |
2 | crs 18713 | . . . 4 RingIso | |
3 | 2 | ccnv 5113 | . . 3 RingIso |
4 | cvv 3200 | . . . 4 | |
5 | c1o 7553 | . . . 4 | |
6 | 4, 5 | cdif 3571 | . . 3 |
7 | 3, 6 | cima 5117 | . 2 RingIso |
8 | 1, 7 | wceq 1483 | 1 RingIso |
Colors of variables: wff setvar class |
This definition is referenced by: brric 18744 |
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