Theorem exp4aOLD 632

Description: Obsolete proof of exp4a 631 as of 20-Jul-2021. (Contributed by NM, 26-Apr-1994.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypothesis

Ref	Expression
exp4aOLD.1	⊢ (𝜑 → (𝜓 → ((𝜒 ∧ 𝜃) → 𝜏)))

Assertion

Ref	Expression
exp4aOLD	⊢ (𝜑 → (𝜓 → (𝜒 → (𝜃 → 𝜏))))

Proof of Theorem exp4aOLD

Step	Hyp	Ref	Expression
1		exp4aOLD.1	. 2 ⊢ (𝜑 → (𝜓 → ((𝜒 ∧ 𝜃) → 𝜏)))
2		impexp 461	. 2 ⊢ (((𝜒 ∧ 𝜃) → 𝜏) ↔ (𝜒 → (𝜃 → 𝜏)))
3	1, 2	syl6ib 240	1 ⊢ (𝜑 → (𝜓 → (𝜒 → (𝜃 → 𝜏))))

Syntax hints:   → wi 4   ∧ wa 383

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 196  df-an 385

This theorem is referenced by: (None)