Metamath Proof Explorer


Theorem simpr

Description: Elimination of a conjunct. Theorem *3.27 (Simp) of WhiteheadRussell p. 112. (Contributed by NM, 3-Jan-1993) (Proof shortened by Wolf Lammen, 14-Jun-2022)

Ref Expression
Assertion simpr
|- ( ( ph /\ ps ) -> ps )

Proof

Step Hyp Ref Expression
1 id
 |-  ( ps -> ps )
2 1 adantl
 |-  ( ( ph /\ ps ) -> ps )