Theorem 4animp1

Description: A single hypothesis unification deduction with an assertion which is an implication with a 4-right-nested conjunction antecedent. (Contributed by Alan Sare, 30-May-2018)

	Ref	Expression
Hypothesis	4animp1.1	|- ( ( ph /\ ps /\ ch ) -> ( ta <-> th ) )
Assertion	4animp1	|- ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) -> ta )

Proof

Step	Hyp	Ref	Expression
1		4animp1.1	|- ( ( ph /\ ps /\ ch ) -> ( ta <-> th ) )
2		simpr	|- ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) -> th )
3	1	ad4ant123	|- ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) -> ( ta <-> th ) )
4	2 3	mpbird	|- ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) -> ta )