Description: All sets are well-orderable under choice. (Contributed by Mario Carneiro, 28-Apr-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | cardeqv | ⊢ dom card = V |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | axac3 | ⊢ CHOICE | |
2 | dfac10 | ⊢ ( CHOICE ↔ dom card = V ) | |
3 | 1 2 | mpbi | ⊢ dom card = V |