Theorem abcdtb

Description: Given (((a and b) and c) and d), there exists a proof for b. (Contributed by Jarvin Udandy, 3-Sep-2016)

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

Proof

Step	Hyp	Ref	Expression
1		abcdtb.1	$$⊢\left(\left(\left(\phi \wedge \psi \right)\wedge \chi \right)\wedge \theta \right)$$
2	1	simpli	$$⊢\left(\left(\phi \wedge \psi \right)\wedge \chi \right)$$
3	2	simpli	$$⊢\left(\phi \wedge \psi \right)$$
4	3	simpri	$$⊢\psi$$