Theorem stoic4b

Description: Stoic logic Thema 4 version b. This is version b, which is with the phrase "or both". See stoic4a for more information. (Contributed by David A. Wheeler, 17-Feb-2019)

	Ref	Expression
Hypotheses	stoic4b.1	|- ( ( ph /\ ps ) -> ch )
	stoic4b.2	|- ( ( ( ch /\ ph /\ ps ) /\ th ) -> ta )
Assertion	stoic4b	|- ( ( ph /\ ps /\ th ) -> ta )

Proof

Step	Hyp	Ref	Expression
1		stoic4b.1	|- ( ( ph /\ ps ) -> ch )
2		stoic4b.2	|- ( ( ( ch /\ ph /\ ps ) /\ th ) -> ta )
3	1	3adant3	|- ( ( ph /\ ps /\ th ) -> ch )
4		simp1	|- ( ( ph /\ ps /\ th ) -> ph )
5		simp2	|- ( ( ph /\ ps /\ th ) -> ps )
6		simp3	|- ( ( ph /\ ps /\ th ) -> th )
7	3 4 5 6 2	syl31anc	|- ( ( ph /\ ps /\ th ) -> ta )