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Mirrors > Home > ILE Home > Th. List > pm2.21ddne | Unicode version |
Description: A contradiction implies anything. Equality/inequality deduction form. (Contributed by David Moews, 28-Feb-2017.) |
Ref | Expression |
---|---|
pm2.21ddne.1 | |
pm2.21ddne.2 |
Ref | Expression |
---|---|
pm2.21ddne |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.21ddne.1 | . 2 | |
2 | pm2.21ddne.2 | . . 3 | |
3 | 2 | neneqd 2266 | . 2 |
4 | 1, 3 | pm2.21dd 582 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1284 wne 2245 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-in2 577 |
This theorem depends on definitions: df-bi 115 df-ne 2246 |
This theorem is referenced by: divalglemex 10322 divalg 10324 znege1 10556 |
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