Theorem r1omALT

Description: Alternate proof of r1om , shorter as a consequence of inar1 , but requiring AC. (Contributed by Mario Carneiro, 27-May-2013) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	r1omALT	|- ( R1 ` _om ) ~~ _om

Proof

Step	Hyp	Ref	Expression
1		omina	|- _om e. Inacc
2		inar1	|- ( _om e. Inacc -> ( R1 ` _om ) ~~ _om )
3	1 2	ax-mp	|- ( R1 ` _om ) ~~ _om