This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem ex-natded5.3i

Description: The same as ex-natded5.3 and ex-natded5.3-2 but with no context. Identical to jccir , which should be used instead. (Contributed by Mario Carneiro, 9-Feb-2017) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypotheses	ex-natded5.3i.1	\|- ( ps -> ch )
	ex-natded5.3i.2	\|- ( ch -> th )
Assertion	ex-natded5.3i	\|- ( ps -> ( ch /\ th ) )

Proof

Step	Hyp	Ref	Expression
1		ex-natded5.3i.1	\|- ( ps -> ch )
2		ex-natded5.3i.2	\|- ( ch -> th )
3	1 2	syl	\|- ( ps -> th )
4	1 3	jca	\|- ( ps -> ( ch /\ th ) )