| New Foundations Explorer | 
      
      
      < Previous  
      Next >
      
       Nearby theorems  | 
  ||
| Mirrors > Home > NFE Home > Th. List > exmid | Unicode version | ||
| Description: Law of excluded middle, also called the principle of tertium non datur. Theorem *2.11 of [WhiteheadRussell] p. 101. It says that something is either true or not true; there are no in-between values of truth. This is an essential distinction of our classical logic and is not a theorem of intuitionistic logic. (Contributed by NM, 5-Aug-1993.) | 
| Ref | Expression | 
|---|---|
| exmid | 
 | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | id 19 | 
. 2
 | |
| 2 | 1 | orri 365 | 
1
 | 
| Colors of variables: wff setvar class | 
| Syntax hints:    | 
| 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-or 359 | 
| This theorem is referenced by: exmidd 405 pm5.62 889 pm5.63 890 pm4.83 895 4exmid 905 exmidne 2523 rabxm 3574 elimif 3692 | 
| Copyright terms: Public domain | W3C validator |