Theorem intn3an3d 1340

Description: Introduction of a triple conjunct inside a contradiction. (Contributed by FL, 27-Dec-2007.) (Proof shortened by Andrew Salmon, 26-Jun-2011.)

Hypothesis

Ref	Expression
intn3and.1

Assertion

Ref	Expression
intn3an3d

Proof of Theorem intn3an3d

Step	Hyp	Ref	Expression
1		intn3and.1	. 2
2		simp3 998	. 2
3	1, 2	nsyl 121	1

Syntax hints:  -.wn 3  ->wi 4  /\w3a 973

This theorem is referenced by:  en3lp  8054  winainflem  9092  spthispth  24575  2spotdisj  25061  gtnelioc  31523  icccncfext  31690  fourierdlem10  31899

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 185  df-an 371  df-3an 975