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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 |
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pm2.21ddne.1 |
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pm2.21ddne.2 |
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Ref | Expression |
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pm2.21ddne |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.21ddne.1 |
. 2
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2 | pm2.21ddne.2 |
. . 3
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3 | 2 | neneqd 2330 |
. 2
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4 | 1, 3 | pm2.21dd 610 |
1
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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 105 ax-in2 605 |
This theorem depends on definitions: df-bi 116 df-ne 2310 |
This theorem is referenced by: npnflt 9628 nmnfgt 9631 xlt2add 9693 xrbdtri 11077 divalglemex 11655 divalg 11657 znege1 11892 ennnfonelemex 11963 |
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