Theorem simp1i 964

Description: Infer a conjunct from a triple conjunction. (Contributed by NM, 19-Apr-2005.)

Hypothesis

Ref	Expression
3simp1i.1	|- (ph /\ ps /\ ch)

Assertion

Ref	Expression
simp1i	|- ph

Proof of Theorem simp1i

Step	Hyp	Ref	Expression
1		3simp1i.1	. 2 |- (ph /\ ps /\ ch)
2		simp1 955	. 2 |- ((ph /\ ps /\ ch) -> ph)
3	1, 2	ax-mp 5	1 |- ph

Syntax hints:   /\ w3a 934

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 177  df-an 360  df-3an 936

This theorem is referenced by: (None)