Theorem ee01an

Description: e01an without virtual deductions. sylancr is also a form of e01an without virtual deduction, except the order of the hypotheses is different. (Contributed by Alan Sare, 25-Jul-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	ee01an.1	|- ph
	ee01an.2	|- ( ps -> ch )
	ee01an.3	|- ( ( ph /\ ch ) -> th )
Assertion	ee01an	|- ( ps -> th )

Proof

Step	Hyp	Ref	Expression
1		ee01an.1	|- ph
2		ee01an.2	|- ( ps -> ch )
3		ee01an.3	|- ( ( ph /\ ch ) -> th )
4	1 2 3	sylancr	|- ( ps -> th )