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Theorem sylancom 648
Description: Syllogism inference with commutation of antecedents. (Contributed by NM, 2-Jul-2008.)
Hypotheses
Ref Expression
sylancom.1
sylancom.2
Assertion
Ref Expression
sylancom

Proof of Theorem sylancom
StepHypRef Expression
1 sylancom.1 . 2
2 simpr 447 . 2
3 sylancom.2 . 2
41, 2, 3syl2anc 642 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:  fimacnvdisj  5244
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