Theorem eelT0

Description: An elimination deduction. (Contributed by Alan Sare, 4-Feb-2017) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	eelT0.1	|- ( T. -> ph )
	eelT0.2	|- ps
	eelT0.3	|- ( ( ph /\ ps ) -> ch )
Assertion	eelT0	|- ch

Proof

Step	Hyp	Ref	Expression
1		eelT0.1	|- ( T. -> ph )
2		eelT0.2	|- ps
3		eelT0.3	|- ( ( ph /\ ps ) -> ch )
4	1 3	sylan	|- ( ( T. /\ ps ) -> ch )
5	2 4	mpan2	|- ( T. -> ch )
6	5	mptru	|- ch