Theorem eel00cT

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

	Ref	Expression
Hypotheses	eel00cT.1	|- ph
	eel00cT.2	|- ps
	eel00cT.3	|- ( ( ph /\ ps ) -> ch )
Assertion	eel00cT	|- ( T. -> ch )

Proof

Step	Hyp	Ref	Expression
1		eel00cT.1	|- ph
2		eel00cT.2	|- ps
3		eel00cT.3	|- ( ( ph /\ ps ) -> ch )
4	1 3	mpan	|- ( ps -> ch )
5	2 4	ax-mp	|- ch
6	5	a1i	|- ( T. -> ch )