Theorem 3anim2i

Description: Add two conjuncts to antecedent and consequent. (Contributed by AV, 21-Nov-2019)

	Ref	Expression
Hypothesis	3animi.1	$$⊢\phi \to \psi$$
Assertion	3anim2i	$$⊢\left(\chi \wedge \phi \wedge \theta \right)\to \left(\chi \wedge \psi \wedge \theta \right)$$

Proof

Step	Hyp	Ref	Expression
1		3animi.1	$$⊢\phi \to \psi$$
2		id	$$⊢\chi \to \chi$$
3		id	$$⊢\theta \to \theta$$
4	2 1 3	3anim123i	$$⊢\left(\chi \wedge \phi \wedge \theta \right)\to \left(\chi \wedge \psi \wedge \theta \right)$$