Metamath Proof Explorer
Description: The identity element of a group is a left identity. Deduction
associated with grplid . (Contributed by SN, 29-Jan-2025)
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|
Ref |
Expression |
|
Hypotheses |
grpbn0.b |
|
|
|
grplid.p |
|
|
|
grplid.o |
|
|
|
grplidd.g |
|
|
|
grplidd.1 |
|
|
Assertion |
grplidd |
|
Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
grpbn0.b |
|
2 |
|
grplid.p |
|
3 |
|
grplid.o |
|
4 |
|
grplidd.g |
|
5 |
|
grplidd.1 |
|
6 |
1 2 3
|
grplid |
|
7 |
4 5 6
|
syl2anc |
|