![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > ax-in2 | Unicode version |
Description: 'Not' elimination. One of the axioms of propositional logic. (Contributed by Mario Carneiro, 31-Jan-2015.) |
Ref | Expression |
---|---|
ax-in2 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wph |
. . 3
![]() ![]() | |
2 | 1 | wn 3 |
. 2
![]() ![]() ![]() |
3 | wps |
. . 3
![]() ![]() | |
4 | 1, 3 | wi 4 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() |
5 | 2, 4 | wi 4 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This axiom is referenced by: pm2.21 618 con2d 625 imorr 722 dcim 842 condcOLD 855 pm5.14dc 912 pm5.54dc 919 mon 2067 difin 3387 indifdir 3406 sosng 4717 iotanul 5211 |
Copyright terms: Public domain | W3C validator |