Theorem axia1 2587

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

Assertion

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

Proof of Theorem axia1

Step	Hyp	Ref	Expression
1		simpl 473	1 |- ( ( ph /\ ps ) -> ph )

Syntax hints:   -> wi 4   /\ wa 384

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386

This theorem is referenced by: (None)