Theorem adantr

Description: Inference adding a conjunct to the right of an antecedent. (Contributed by NM, 30-Aug-1993)

	Ref	Expression
Hypothesis	adantr.1	$$⊢\phi \to \psi$$
Assertion	adantr	$$⊢\left(\phi \wedge \chi \right)\to \psi$$

Proof

Step	Hyp	Ref	Expression
1		adantr.1	$$⊢\phi \to \psi$$
2	1	a1d	$$⊢\phi \to \left(\chi \to \psi \right)$$
3	2	imp	$$⊢\left(\phi \wedge \chi \right)\to \psi$$