Theorem pm2.86d 65

Description: Deduction based on pm2.86 63.

Hypothesis

Ref	Expression
pm2.86d.1	⊢ (φ → ((ψ → χ) → (ψ → θ)))

Assertion

Ref	Expression
pm2.86d	⊢ (φ → (ψ → (χ → θ)))

Proof of Theorem pm2.86d

Step	Hyp	Ref	Expression
1		pm2.86d.1	. 2 ⊢ (φ → ((ψ → χ) → (ψ → θ)))
2		pm2.86 63	. 2 ⊢ (((ψ → χ) → (ψ → θ)) → (ψ → (χ → θ)))
3	1, 2	syl 12	1 ⊢ (φ → (ψ → (χ → θ)))

Syntax hints:   → wi 2

This theorem is referenced by:  pm5.74 442  ax15 1006

This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-mp 6

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