Theorem csbiedOLD

Description: Obsolete version of csbied as of 15-Oct-2024. (Contributed by Mario Carneiro, 2-Dec-2014) (Revised by Mario Carneiro, 13-Oct-2016) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	csbiedOLD.1	|- ( ph -> A e. V )
	csbiedOLD.2	|- ( ( ph /\ x = A ) -> B = C )
Assertion	csbiedOLD	|- ( ph -> [_ A / x ]_ B = C )

Proof

Step	Hyp	Ref	Expression
1		csbiedOLD.1	|- ( ph -> A e. V )
2		csbiedOLD.2	|- ( ( ph /\ x = A ) -> B = C )
3		nfv	|- F/ x ph
4		nfcvd	|- ( ph -> F/_ x C )
5	3 4 1 2	csbiedf	|- ( ph -> [_ A / x ]_ B = C )