Theorem simplbi2comt

Description: Closed form of simplbi2com . (Contributed by Alan Sare, 22-Jul-2012)

	Ref	Expression
Assertion	simplbi2comt	⊢ ( ( 𝜑 ↔ ( 𝜓 ∧ 𝜒 ) ) → ( 𝜒 → ( 𝜓 → 𝜑 ) ) )

Proof

Step	Hyp	Ref	Expression
1		biimpr	⊢ ( ( 𝜑 ↔ ( 𝜓 ∧ 𝜒 ) ) → ( ( 𝜓 ∧ 𝜒 ) → 𝜑 ) )
2	1	expcomd	⊢ ( ( 𝜑 ↔ ( 𝜓 ∧ 𝜒 ) ) → ( 𝜒 → ( 𝜓 → 𝜑 ) ) )