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Theorem sylanl1 631
Description: A syllogism inference. (Contributed by NM, 10-Mar-2005.)
Hypotheses
Ref Expression
sylanl1.1
sylanl1.2
Assertion
Ref Expression
sylanl1

Proof of Theorem sylanl1
StepHypRef Expression
1 sylanl1.1 . . 3
21anim1i 551 . 2
3 sylanl1.2 . 2
42, 3sylan 457 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358
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 177  df-an 360
This theorem is referenced by:  adantlll  698  adantllr  699  isocnv  5491
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