Theorem ex-natded5.3-2

Description: A more efficient proof of Theorem 5.3 of Clemente p. 16. Compare with ex-natded5.3 and ex-natded5.3i . (Contributed by Mario Carneiro, 9-Feb-2017) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	ex-natded5.3.1	|- ( ph -> ( ps -> ch ) )
	ex-natded5.3.2	|- ( ph -> ( ch -> th ) )
Assertion	ex-natded5.3-2	|- ( ph -> ( ps -> ( ch /\ th ) ) )

Proof

Step	Hyp	Ref	Expression
1		ex-natded5.3.1	|- ( ph -> ( ps -> ch ) )
2		ex-natded5.3.2	|- ( ph -> ( ch -> th ) )
3	1 2	syld	|- ( ph -> ( ps -> th ) )
4	1 3	jcad	|- ( ph -> ( ps -> ( ch /\ th ) ) )