Theorem 4an31

Description: A rearrangement of conjuncts for a 4-right-nested conjunction. (Contributed by Alan Sare, 30-May-2018)

	Ref	Expression
Hypothesis	4an31.1	|- ( ( ( ( ch /\ ps ) /\ ph ) /\ th ) -> ta )
Assertion	4an31	|- ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) -> ta )

Proof

Step	Hyp	Ref	Expression
1		4an31.1	|- ( ( ( ( ch /\ ps ) /\ ph ) /\ th ) -> ta )
2		an31	|- ( ( ( ph /\ ps ) /\ ch ) <-> ( ( ch /\ ps ) /\ ph ) )
3	2 1	sylanb	|- ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) -> ta )