Theorem numth3

Description: All sets are well-orderable under choice. (Contributed by Stefan O'Rear, 28-Feb-2015)

	Ref	Expression
Assertion	numth3	$$⊢A\in V\to A\in \mathrm{dom}\mathrm{card}$$

Proof

Step	Hyp	Ref	Expression
1		elex	$$⊢A\in V\to A\in \mathrm{V}$$
2		cardeqv	$$⊢\mathrm{dom}\mathrm{card}=\mathrm{V}$$
3	1 2	eleqtrrdi	$$⊢A\in V\to A\in \mathrm{dom}\mathrm{card}$$