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Theorem syl3an1b 1264
Description: A syllogism inference. (Contributed by NM, 22-Aug-1995.)
Hypotheses
Ref Expression
syl3an1b.1
syl3an1b.2
Assertion
Ref Expression
syl3an1b

Proof of Theorem syl3an1b
StepHypRef Expression
1 syl3an1b.1 . . 3
21biimpi 194 . 2
3 syl3an1b.2 . 2
42, 3syl3an1 1261 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  <->wb 184  /\w3a 973
This theorem is referenced by:  ovmpt2elrn  6871  irrmul  11236  xrlttr  11375  flfneii  20493  crefdf  27851  divrngcl  30360
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
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