Theorem e3

Description: Meta-connective form of syl8 . (Contributed by Alan Sare, 15-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	e3.1	|- (. ph ,. ps ,. ch ->. th ).
	e3.2	|- ( th -> ta )
Assertion	e3	|- (. ph ,. ps ,. ch ->. ta ).

Proof

Step	Hyp	Ref	Expression
1		e3.1	|- (. ph ,. ps ,. ch ->. th ).
2		e3.2	|- ( th -> ta )
3	2	a1i	|- ( th -> ( th -> ta ) )
4	1 1 3	e33	|- (. ph ,. ps ,. ch ->. ta ).