Theorem 3anim2i

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

	Ref	Expression
Hypothesis	3animi.1	⊢ ( 𝜑 → 𝜓 )
Assertion	3anim2i	⊢ ( ( 𝜒 ∧ 𝜑 ∧ 𝜃 ) → ( 𝜒 ∧ 𝜓 ∧ 𝜃 ) )

Proof

Step	Hyp	Ref	Expression
1		3animi.1	⊢ ( 𝜑 → 𝜓 )
2		id	⊢ ( 𝜒 → 𝜒 )
3		id	⊢ ( 𝜃 → 𝜃 )
4	2 1 3	3anim123i	⊢ ( ( 𝜒 ∧ 𝜑 ∧ 𝜃 ) → ( 𝜒 ∧ 𝜓 ∧ 𝜃 ) )