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Mirrors > Home > ILE Home > Th. List > neeq2 | Unicode version |
Description: Equality theorem for inequality. (Contributed by NM, 19-Nov-1994.) |
Ref | Expression |
---|---|
neeq2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqeq2 2203 |
. . 3
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2 | 1 | notbid 668 |
. 2
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3 | df-ne 2365 |
. 2
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4 | df-ne 2365 |
. 2
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5 | 2, 3, 4 | 3bitr4g 223 |
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 106 ax-ia2 107 ax-ia3 108 ax-in1 615 ax-in2 616 ax-5 1458 ax-gen 1460 ax-4 1521 ax-17 1537 ax-ext 2175 |
This theorem depends on definitions: df-bi 117 df-cleq 2186 df-ne 2365 |
This theorem is referenced by: neeq2i 2380 neeq2d 2383 disji2 4022 fodjuomnilemdc 7193 netap 7304 2oneel 7306 2omotaplemap 7307 2omotaplemst 7308 exmidapne 7310 xrlttri3 9853 isnzr2 13664 neapmkv 15503 neap0mkv 15504 ltlenmkv 15505 |
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