Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > eqneqall | Unicode version |
Description: A contradiction concerning equality implies anything. (Contributed by Alexander van der Vekens, 25-Jan-2018.) |
Ref | Expression |
---|---|
eqneqall |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ne 2309 | . 2 | |
2 | pm2.24 610 | . 2 | |
3 | 1, 2 | syl5bi 151 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wceq 1331 wne 2308 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-in2 604 |
This theorem depends on definitions: df-bi 116 df-ne 2309 |
This theorem is referenced by: eldju2ndl 6957 eldju2ndr 6958 modfzo0difsn 10168 nno 11603 prm2orodd 11807 |
Copyright terms: Public domain | W3C validator |