Theorem pm3.35

Description: Conjunctive detachment. Theorem *3.35 of WhiteheadRussell p. 112. Variant of pm2.27 . (Contributed by NM, 14-Dec-2002)

	Ref	Expression
Assertion	pm3.35	$$⊢\left(\phi \wedge \left(\phi \to \psi \right)\right)\to \psi$$

Proof

Step	Hyp	Ref	Expression
1		pm2.27	$$⊢\phi \to \left(\left(\phi \to \psi \right)\to \psi \right)$$
2	1	imp	$$⊢\left(\phi \wedge \left(\phi \to \psi \right)\right)\to \psi$$