Metamath Proof Explorer
Description: The base set of a monoid ring. (Contributed by Rohan Ridenour, 14-May-2024)
|
|
Ref |
Expression |
|
Hypotheses |
mnringbased.1 |
No typesetting found for |- F = ( R MndRing M ) with typecode |- |
|
|
mnringbased.2 |
|
|
|
mnringbased.3 |
|
|
|
mnringbased.4 |
|
|
|
mnringbased.5 |
|
|
|
mnringbased.6 |
|
|
Assertion |
mnringbased |
|
Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
mnringbased.1 |
Could not format F = ( R MndRing M ) : No typesetting found for |- F = ( R MndRing M ) with typecode |- |
2 |
|
mnringbased.2 |
|
3 |
|
mnringbased.3 |
|
4 |
|
mnringbased.4 |
|
5 |
|
mnringbased.5 |
|
6 |
|
mnringbased.6 |
|
7 |
|
df-base |
|
8 |
|
1nn |
|
9 |
|
1re |
|
10 |
|
1lt3 |
|
11 |
9 10
|
ltneii |
|
12 |
|
mulrndx |
|
13 |
11 12
|
neeqtrri |
|
14 |
1 7 8 13 2 3 5 6
|
mnringnmulrd |
|
15 |
4 14
|
syl5eq |
|