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Theorem sylanl2 632
Description: A syllogism inference. (Contributed by NM, 1-Jan-2005.)
Hypotheses
Ref Expression
sylanl2.1
sylanl2.2
Assertion
Ref Expression
sylanl2

Proof of Theorem sylanl2
StepHypRef Expression
1 sylanl2.1 . . 3
21anim2i 552 . 2
3 sylanl2.2 . 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:  mpanlr1  667  adantlrl  700  adantlrr  701  ncssfin  6151  spacind  6287
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