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Metamath Proof Explorer

Theorem cardeqv

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