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Metamath Proof Explorer

Theorem simpl

Description: Elimination of a conjunct. Theorem *3.26 (Simp) of WhiteheadRussell p. 112. (Contributed by NM, 3-Jan-1993) (Proof shortened by Wolf Lammen, 14-Jun-2022)

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

Proof

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