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| Mirrors > Home > ILE Home > Th. List > stabnot | Unicode version | ||
| Description: Every negated formula is stable. (Contributed by David A. Wheeler, 13-Aug-2018.) | 
| Ref | Expression | 
|---|---|
| stabnot | 
 | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | notnotnot 635 | 
. . 3
 | |
| 2 | 1 | biimpi 120 | 
. 2
 | 
| 3 | df-stab 832 | 
. 2
 | |
| 4 | 2, 3 | mpbir 146 | 
1
 | 
| Colors of variables: wff set class | 
| Syntax hints:    | 
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-in1 615 ax-in2 616 | 
| This theorem depends on definitions: df-bi 117 df-stab 832 | 
| This theorem is referenced by: dcnn 849 cnstab 8672 | 
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