Theorem syldbl2

Description: Stacked hypotheseis implies goal. (Contributed by Stanislas Polu, 9-Mar-2020)

	Ref	Expression
Hypothesis	syldbl2.1	$$⊢\left(\phi \wedge \psi \right)\to \left(\psi \to \theta \right)$$
Assertion	syldbl2	$$⊢\left(\phi \wedge \psi \right)\to \theta$$

Proof

Step	Hyp	Ref	Expression
1		syldbl2.1	$$⊢\left(\phi \wedge \psi \right)\to \left(\psi \to \theta \right)$$
2	1	com12	$$⊢\psi \to \left(\left(\phi \wedge \psi \right)\to \theta \right)$$
3	2	anabsi7	$$⊢\left(\phi \wedge \psi \right)\to \theta$$