MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  sylan2i Unicode version

Theorem sylan2i 655
Description: A syllogism inference. (Contributed by NM, 1-Aug-1994.)
Hypotheses
Ref Expression
sylan2i.1
sylan2i.2
Assertion
Ref Expression
sylan2i

Proof of Theorem sylan2i
StepHypRef Expression
1 sylan2i.1 . . 3
21a1i 11 . 2
3 sylan2i.2 . 2
42, 3sylan2d 482 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  /\wa 369
This theorem is referenced by:  syl2ani  656  odi  7247  pssnn  7758  noinfepOLD  8098  ltexprlem7  9441  ltaprlem  9443  sup2  10524  filufint  20421  pjnormssi  27087  pellex  30771
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 185  df-an 371
  Copyright terms: Public domain W3C validator