Description: 1 is an identity element for real multiplication. Axiom 14 of 22 for real and complex numbers, justified by Theorem ax1rid . Weakened from the original axiom in the form of statement in mulrid , based on ideas by Eric Schmidt. (Contributed by NM, 29-Jan-1995)
Ref | Expression | ||
---|---|---|---|
Assertion | ax-1rid | |
Step | Hyp | Ref | Expression |
---|---|---|---|
0 | cA | |
|
1 | cr | |
|
2 | 0 1 | wcel | |
3 | cmul | |
|
4 | c1 | |
|
5 | 0 4 3 | co | |
6 | 5 0 | wceq | |
7 | 2 6 | wi | |