ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  nic-justlem Unicode version

Theorem nic-justlem 1281
Description: Lemma for handling nested 'nand's.
Assertion
Ref Expression
nic-justlem

Proof of Theorem nic-justlem
StepHypRef Expression
1 df-nand 1280 . . 3
2 df-nand 1280 . . . 4
32anbi2i 431 . . 3
41, 3xchbinx 586 . 2
5 iman 779 . 2
64, 5bitr4i 175 1
Colors of variables: wff set class
Syntax hints:   wn 3   wi 4   wa 96   wb 97   wnand 1279
This theorem is referenced by:  nic-justim  1282  nic-mp  1287  nic-ax  1289
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-ia1 98  ax-ia2 99  ax-ia3 100  ax-in1 527  ax-in2 528
This theorem depends on definitions:  df-bi 109  df-nand 1280
  Copyright terms: Public domain W3C validator