Metamath Proof Explorer

Theorem axia1

Description: Left 'and' elimination (intuitionistic logic axiom ax-ia1). (Contributed by Jim Kingdon, 21-May-2018) (New usage is discouraged.)

Ref Expression
Assertion axia1 
|- ( ( ph /\ ps ) -> ph )

Proof

Step Hyp Ref Expression
1 simpl 
 |-  ( ( ph /\ ps ) -> ph )