Theorem syl5d 67

Description: A nested syllogism deduction. (Contributed by NM, 14-May-1993.) (Proof shortened by Josh Purinton, 29-Dec-2000.) (Proof shortened by Mel L. O'Cat, 2-Feb-2006.)

Hypotheses

Ref	Expression
syl5d.1
syl5d.2

Assertion

Ref	Expression
syl5d

Proof of Theorem syl5d

Step	Hyp	Ref	Expression
1		syl5d.1	. . 3
2	1	a1d 25	. 2
3		syl5d.2	. 2
4	2, 3	syldd 66	1

Syntax hints:  ->wi 4

This theorem is referenced by:  syl7  68  syl9  71  imim12d  74  sbi1  2133  mopick  2356  isofrlem  6236  kmlem9  8559  squeeze0  10473  fgss2  20375  ordcmp  29912  linepsubN  35476  pmapsub  35492

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