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Metamath Proof Explorer

Theorem 3anim2i

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

		Ref	Expression
	Hypothesis	3animi.1	$⊢ φ \to ψ$
	Assertion	3anim2i	$⊢ (χ \land φ \land θ) \to (χ \land ψ \land θ)$

Step	Hyp	Ref	Expression
1		3animi.1	$⊢ φ \to ψ$
2		id	$⊢ χ \to χ$
3		id	$⊢ θ \to θ$
4	2 1 3	3anim123i	$⊢ (χ \land φ \land θ) \to (χ \land ψ \land θ)$