Theorem ex-natded5.3i 27266

Description: The same as ex-natded5.3 27264 and ex-natded5.3-2 27265 but with no context. Identical to jccir 562, which should be used instead. (Contributed by Mario Carneiro, 9-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypotheses

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

Assertion

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

Proof of Theorem ex-natded5.3i

Step	Hyp	Ref	Expression
1		ex-natded5.3i.1	. 2 |- ( ps -> ch )
2		ex-natded5.3i.2	. . 3 |- ( ch -> th )
3	1, 2	syl 17	. 2 |- ( ps -> th )
4	1, 3	jca 554	1 |- ( ps -> ( ch /\ th ) )

Syntax hints:   -> wi 4   /\ wa 384

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386

This theorem is referenced by: (None)