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Metamath Proof Explorer

Theorem simpr3

Description: Simplification of conjunction. (Contributed by Jeff Hankins, 17-Nov-2009) (Proof shortened by Wolf Lammen, 23-Jun-2022)

Ref Expression
Assertion simpr3 
|- ( ( ph /\ ( ps /\ ch /\ th ) ) -> th )

Proof

Step Hyp Ref Expression
1 simpr 
 |-  ( ( ph /\ th ) -> th )
2 1 3ad2antr3 
 |-  ( ( ph /\ ( ps /\ ch /\ th ) ) -> th )