Theorem pm4.76

Description: Theorem *4.76 of WhiteheadRussell p. 121. (Contributed by NM, 3-Jan-2005)

	Ref	Expression
Assertion	pm4.76	⊢ ( ( ( 𝜑 → 𝜓 ) ∧ ( 𝜑 → 𝜒 ) ) ↔ ( 𝜑 → ( 𝜓 ∧ 𝜒 ) ) )

Proof

Step	Hyp	Ref	Expression
1		jcab	⊢ ( ( 𝜑 → ( 𝜓 ∧ 𝜒 ) ) ↔ ( ( 𝜑 → 𝜓 ) ∧ ( 𝜑 → 𝜒 ) ) )
2	1	bicomi	⊢ ( ( ( 𝜑 → 𝜓 ) ∧ ( 𝜑 → 𝜒 ) ) ↔ ( 𝜑 → ( 𝜓 ∧ 𝜒 ) ) )