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Mirrors > Home > NFE Home > Th. List > necon3bid | Unicode version |
Description: Deduction from equality to inequality. (Contributed by NM, 23-Feb-2005.) (Proof shortened by Andrew Salmon, 25-May-2011.) |
Ref | Expression |
---|---|
necon3bid.1 |
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Ref | Expression |
---|---|
necon3bid |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ne 2519 |
. 2
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2 | necon3bid.1 |
. . 3
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3 | 2 | necon3bbid 2551 |
. 2
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4 | 1, 3 | syl5bb 248 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 df-ne 2519 |
This theorem is referenced by: nebi 2588 nchoicelem17 6306 |
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