Metamath Proof Explorer
Description: Every ring contains a unit ideal. (Contributed by Stefan O'Rear, 3-Jan-2015) (Proof shortened by AV, 18-Apr-2025)
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|
Ref |
Expression |
|
Hypotheses |
rnglidl0.u |
|
|
|
rnglidl1.b |
|
|
Assertion |
lidl1 |
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Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
rnglidl0.u |
|
2 |
|
rnglidl1.b |
|
3 |
|
ringrng |
|
4 |
1 2
|
rnglidl1 |
|
5 |
3 4
|
syl |
|