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Theorem syland 467
Description: A syllogism deduction. (Contributed by NM, 15-Dec-2004.)
Hypotheses
Ref Expression
syland.1
syland.2
Assertion
Ref Expression
syland

Proof of Theorem syland
StepHypRef Expression
1 syland.1 . . 3
2 syland.2 . . . 4
32exp3a 425 . . 3
41, 3syld 40 . 2
54imp3a 420 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:  sylan2d  468  syl2and  469  sylani  635
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