Theorem pm3.41

Description: Theorem *3.41 of WhiteheadRussell p. 113. (Contributed by NM, 3-Jan-2005)

	Ref	Expression
Assertion	pm3.41	⊢ ( ( 𝜑 → 𝜒 ) → ( ( 𝜑 ∧ 𝜓 ) → 𝜒 ) )

Proof

Step	Hyp	Ref	Expression
1		simpl	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜑 )
2	1	imim1i	⊢ ( ( 𝜑 → 𝜒 ) → ( ( 𝜑 ∧ 𝜓 ) → 𝜒 ) )