Theorem bj-exlimvmpi

Description: A Fol lemma ( exlimiv followed by mpi ). (Contributed by BJ, 2-Jul-2022) (Proof modification is discouraged.)

	Ref	Expression
Hypotheses	bj-exlimvmpi.maj	$$⊢\chi \to \left(\phi \to \psi \right)$$
	bj-exlimvmpi.min	$$⊢\phi$$
Assertion	bj-exlimvmpi	$$⊢\exists x\chi \to \psi$$

Proof

Step	Hyp	Ref	Expression
1		bj-exlimvmpi.maj	$$⊢\chi \to \left(\phi \to \psi \right)$$
2		bj-exlimvmpi.min	$$⊢\phi$$
3	2 1	mpi	$$⊢\chi \to \psi$$
4	3	exlimiv	$$⊢\exists x\chi \to \psi$$