Metamath Proof Explorer
Description: A field is a division ring. (Contributed by Jeff Madsen, 10-Jun-2010)
(Revised by Mario Carneiro, 15-Dec-2013) (New usage is discouraged.)
|
|
Ref |
Expression |
|
Assertion |
flddivrng |
|
Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
df-fld |
|
2 |
|
inss1 |
|
3 |
1 2
|
eqsstri |
|
4 |
3
|
sseli |
|