Theorem abcdtc

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

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

Proof

Step	Hyp	Ref	Expression
1		abcdtc.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	simpri	$$⊢\chi$$