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

Theorem sylnib 295
Description: A mixed syllogism inference from an implication and a biconditional. (Contributed by Wolf Lammen, 16-Dec-2013.)
Hypotheses
Ref Expression
sylnib.1
sylnib.2
Assertion
Ref Expression
sylnib

Proof of Theorem sylnib
StepHypRef Expression
1 sylnib.1 . 2
2 sylnib.2 . . 3
32a1i 10 . 2
41, 3mtbid 291 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4   wb 176
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
This theorem is referenced by:  sylnibr  296  ssnelpss  3613  nnc3n3p1  6278  nchoicelem1  6289
  Copyright terms: Public domain W3C validator