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Theorem syl3an1 1215
Description: A syllogism inference. (Contributed by NM, 22-Aug-1995.)
Hypotheses
Ref Expression
syl3an1.1
syl3an1.2
Assertion
Ref Expression
syl3an1

Proof of Theorem syl3an1
StepHypRef Expression
1 syl3an1.1 . . 3
213anim1i 1138 . 2
3 syl3an1.2 . 2
42, 3syl 15 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   w3a 934
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-an 360  df-3an 936
This theorem is referenced by:  syl3an1b  1218  syl3an1br  1221  ltfintri  4466  lecadd2  6266
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