Theorem jarr

Description: Elimination of a nested antecedent. Sometimes called "Syll-Simp" since it is a syllogism applied to ax-1 ("Simplification"). (Contributed by Wolf Lammen, 9-May-2013)

	Ref	Expression
Assertion	jarr	|- ( ( ( ph -> ps ) -> ch ) -> ( ps -> ch ) )

Proof

Step	Hyp	Ref	Expression
1		ax-1	|- ( ps -> ( ph -> ps ) )
2	1	imim1i	|- ( ( ( ph -> ps ) -> ch ) -> ( ps -> ch ) )