Theorem exp4d

Description: An exportation inference. (Contributed by NM, 26-Apr-1994)

	Ref	Expression
Hypothesis	exp4d.1	⊢ ( 𝜑 → ( ( 𝜓 ∧ ( 𝜒 ∧ 𝜃 ) ) → 𝜏 ) )
Assertion	exp4d	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → ( 𝜃 → 𝜏 ) ) ) )

Proof

Step	Hyp	Ref	Expression
1		exp4d.1	⊢ ( 𝜑 → ( ( 𝜓 ∧ ( 𝜒 ∧ 𝜃 ) ) → 𝜏 ) )
2	1	expd	⊢ ( 𝜑 → ( 𝜓 → ( ( 𝜒 ∧ 𝜃 ) → 𝜏 ) ) )
3	2	exp4a	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 → ( 𝜃 → 𝜏 ) ) ) )