Description: A choice equivalent: every set has choice sets of every length. (Contributed by Mario Carneiro, 31-Aug-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | acacni | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpr | |
|
2 | vex | |
|
3 | simpl | |
|
4 | dfac10 | |
|
5 | 3 4 | sylib | |
6 | 2 5 | eleqtrrid | |
7 | numacn | |
|
8 | 1 6 7 | sylc | |
9 | 2 | a1i | |
10 | 8 9 | 2thd | |
11 | 10 | eqrdv | |