Theorem eelT 39000

Description: An elimination deduction. (Contributed by Alan Sare, 5-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypotheses

Ref	Expression
eelT.1	|- ( T. -> ph )
eelT.2	|- ( ph -> ps )

Assertion

Ref	Expression
eelT	|- ps

Proof of Theorem eelT

Step	Hyp	Ref	Expression
1		eelT.1	. . 3 |- ( T. -> ph )
2		eelT.2	. . 3 |- ( ph -> ps )
3	1, 2	syl 17	. 2 |- ( T. -> ps )
4	3	trud 1493	1 |- ps

Syntax hints:   -> wi 4   T. wtru 1484

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-tru 1486

This theorem is referenced by: (None)