NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  syl6d Unicode version

Theorem syl6d 64
Description: A nested syllogism deduction. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Josh Purinton, 29-Dec-2000.) (Proof shortened by O'Cat, 2-Feb-2006.)
Hypotheses
Ref Expression
syl6d.1
syl6d.2
Assertion
Ref Expression
syl6d

Proof of Theorem syl6d
StepHypRef Expression
1 syl6d.1 . 2
2 syl6d.2 . . 3
32a1d 22 . 2
41, 3syldd 61 1
Colors of variables: wff setvar class
Syntax hints:   wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is referenced by:  syl8  65  cbv1h  1978  sbi1  2063
  Copyright terms: Public domain W3C validator