Theorem pm3.4

Description: Conjunction implies implication. Theorem *3.4 of WhiteheadRussell p. 113. (Contributed by NM, 31-Jul-1995)

	Ref	Expression
Assertion	pm3.4	⊢ ( ( 𝜑 ∧ 𝜓 ) → ( 𝜑 → 𝜓 ) )

Proof

Step	Hyp	Ref	Expression
1		simpr	⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜓 )
2	1	a1d	⊢ ( ( 𝜑 ∧ 𝜓 ) → ( 𝜑 → 𝜓 ) )