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Theorem ex-natded5.3i 20796
Description: The same as ex-natded5.3 20794 and ex-natded5.3-2 20795 but with no context. (Proof modification is discouraged.) (Contributed by Mario Carneiro, 9-Feb-2017.)
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
StepHypRef Expression
1 ex-natded5.3i.1 . 2  |-  ( ps 
->  ch )
2 ex-natded5.3i.2 . . 3  |-  ( ch 
->  th )
31, 2syl 15 . 2  |-  ( ps 
->  th )
41, 3jca 518 1  |-  ( ps 
->  ( ch  /\  th ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 358
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-an 360
  Copyright terms: Public domain W3C validator