Theorem bj-exlimmpi

Description: Lemma for bj-vtoclg1f1 (an instance of this lemma is a version of bj-vtoclg1f1 where x and y are identified). (Contributed by BJ, 30-Apr-2019) (Proof modification is discouraged.)

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

Proof

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