Theorem e3 38964

Description: Meta-connective form of syl8 76. (Contributed by Alan Sare, 15-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypotheses

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

Assertion

Ref	Expression
e3	|- (. ph ,. ps ,. ch ->. ta ).

Proof of Theorem e3

Step	Hyp	Ref	Expression
1		e3.1	. 2 |- (. ph ,. ps ,. ch ->. th ).
2		e3.2	. . 3 |- ( th -> ta )
3	2	a1i 11	. 2 |- ( th -> ( th -> ta ) )
4	1, 1, 3	e33 38961	1 |- (. ph ,. ps ,. ch ->. ta ).

Syntax hints:   -> wi 4   (.wvd3 38803

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386  df-3an 1039  df-vd3 38806

This theorem is referenced by:  e3bi  38965  e3bir  38966  truniALTVD  39114  onfrALTlem2VD  39125