Metamath Proof Explorer


Theorem simprrd

Description: Deduction form of simprr , eliminating a double conjunct. (Contributed by Glauco Siliprandi, 11-Dec-2019)

Ref Expression
Hypothesis simprrd.1
|- ( ph -> ( ps /\ ( ch /\ th ) ) )
Assertion simprrd
|- ( ph -> th )

Proof

Step Hyp Ref Expression
1 simprrd.1
 |-  ( ph -> ( ps /\ ( ch /\ th ) ) )
2 1 simprd
 |-  ( ph -> ( ch /\ th ) )
3 2 simprd
 |-  ( ph -> th )