Theorem anim1ci

Description: Introduce conjunct to both sides of an implication. (Contributed by Peter Mazsa, 24-Sep-2022)

	Ref	Expression
Hypothesis	anim1i.1	⊢ ( 𝜑 → 𝜓 )
Assertion	anim1ci	⊢ ( ( 𝜑 ∧ 𝜒 ) → ( 𝜒 ∧ 𝜓 ) )

Proof

Step	Hyp	Ref	Expression
1		anim1i.1	⊢ ( 𝜑 → 𝜓 )
2		id	⊢ ( 𝜒 → 𝜒 )
3	1 2	anim12ci	⊢ ( ( 𝜑 ∧ 𝜒 ) → ( 𝜒 ∧ 𝜓 ) )