Theorem bj-exlimmpbi

Description: Lemma for theorems of the vtoclg family. (Contributed by BJ, 3-Oct-2019) (Proof modification is discouraged.)

	Ref	Expression
Hypotheses	bj-exlimmpbi.nf	|- F/ x ps
	bj-exlimmpbi.maj	|- ( ch -> ( ph <-> ps ) )
	bj-exlimmpbi.min	|- ph
Assertion	bj-exlimmpbi	|- ( E. x ch -> ps )

Proof

Step	Hyp	Ref	Expression
1		bj-exlimmpbi.nf	|- F/ x ps
2		bj-exlimmpbi.maj	|- ( ch -> ( ph <-> ps ) )
3		bj-exlimmpbi.min	|- ph
4	3 2	mpbii	|- ( ch -> ps )
5	1 4	exlimi	|- ( E. x ch -> ps )