Metamath Proof Explorer

Theorem simpr3r

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012) (Proof shortened by Wolf Lammen, 24-Jun-2022)

Ref Expression
Assertion simpr3r 
|- ( ( ta /\ ( ch /\ th /\ ( ph /\ ps ) ) ) -> ps )

Proof

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