Theorem exp3acom23 1372

Description: The exportation deduction exp3a 425 with commutation of the conjoined wwfs. (Contributed by Alan Sare, 22-Jul-2012.)

Hypothesis

Ref	Expression
exp3acom23.1	⊢ (φ → ((ψ ∧ χ) → θ))

Assertion

Ref	Expression
exp3acom23	⊢ (φ → (χ → (ψ → θ)))

Proof of Theorem exp3acom23

Step	Hyp	Ref	Expression
1		exp3acom23.1	. . 3 ⊢ (φ → ((ψ ∧ χ) → θ))
2	1	exp3a 425	. 2 ⊢ (φ → (ψ → (χ → θ)))
3	2	com23 72	1 ⊢ (φ → (χ → (ψ → θ)))

Syntax hints:   → wi 4   ∧ wa 358

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 177  df-an 360

This theorem is referenced by:  simplbi2comg  1373  ax10  1944  reupick  3540  fnpprod  5844