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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 2366 | . 2 |
4 | 1, 3 | pm2.21dd 620 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1353 wne 2345 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-in2 615 |
This theorem depends on definitions: df-bi 117 df-ne 2346 |
This theorem is referenced by: npnflt 9784 nmnfgt 9787 xlt2add 9849 xrbdtri 11251 divalglemex 11893 divalg 11895 znege1 12144 ennnfonelemex 12381 |
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