Theorem cbvriotavwOLD

Description: Obsolete version of cbvriotavw as of 30-Sep-2024. (Contributed by NM, 18-Mar-2013) (Revised by Gino Giotto, 26-Jan-2024) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	cbvriotavwOLD.1	|- ( x = y -> ( ph <-> ps ) )
Assertion	cbvriotavwOLD	|- ( iota_ x e. A ph ) = ( iota_ y e. A ps )

Proof

Step	Hyp	Ref	Expression
1		cbvriotavwOLD.1	|- ( x = y -> ( ph <-> ps ) )
2		nfv	|- F/ y ph
3		nfv	|- F/ x ps
4	2 3 1	cbvriotaw	|- ( iota_ x e. A ph ) = ( iota_ y e. A ps )