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Mirrors > Home > ILE Home > Th. List > neanior | Unicode version |
Description: A De Morgan's law for inequality. (Contributed by NM, 18-May-2007.) |
Ref | Expression |
---|---|
neanior |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ne 2310 |
. . 3
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2 | df-ne 2310 |
. . 3
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3 | 1, 2 | anbi12i 456 |
. 2
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4 | pm4.56 770 |
. 2
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5 | 3, 4 | bitri 183 |
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-ia2 106 ax-ia3 107 ax-in1 604 ax-in2 605 ax-io 699 |
This theorem depends on definitions: df-bi 116 df-ne 2310 |
This theorem is referenced by: nelpri 3556 nelprd 3558 eldifpr 3559 0nelop 4178 lcmgcd 11795 lcmdvds 11796 |
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